Postpublished at 18:01 British Summer Time 17 May 2015
I'll sign off now. We'll be back with more action from Ibrox on Wednesday when the semi-final kicks-off. Thanks for your company and enjoy what's left of your weekend.
Derek Lyle opens scoring for Queens
Lee Wallace pulls Rangers level on the hour mark
Rangers win 3-2 on aggregate to play Hibs in semi-final
Colin Moffat
I'll sign off now. We'll be back with more action from Ibrox on Wednesday when the semi-final kicks-off. Thanks for your company and enjoy what's left of your weekend.
Before I go, a quick recap on the play-off situation. Rangers are through to the semi-final after edging past Queen of the South. Hibernian are the team waiting to go head-to-head over two legs this Wednesday and Saturday and the last Championship side standing will then take on Motherwell, again over two legs, for a place in the top flight next season.
We'll have online highlights of all of yesterday's Premiership games live in around five minutes, so don't stray too far.
There is another play-off going on right now, with Alloa at home to Forfar for a place in the Championship next season. It's 0-0 after 20 minutes, with the visitors 3-1 up from the first leg. If you want to watch that, the BBC ALBA coverage is being streamed online.
Rangers manager Stuart McCall
"I think there would have been a lot of doubters when we went a goal behind. I was pleased with a lot of the first-half play. We found a way to get through and I'm proud of the lads for that. You can understand the tension from the fans but on the flip side we're grateful to them for their support too.
"I just wish we could put away a higher ratio of chances. It was a lovely goal, good football. If we had got the first goal it would have made it easier for ourselves, but we didn't. I think over the piece we deserved to go through. We've got two teams going into the next leg in good form. I am confident that we'll be ready on Wednesday. It can work in two ways - Hibs have had 18 days off and we've had two tough games. I am just focusing on getting through the next round."
BBC Sportsound pundit Derek Ferguson
[Looking ahead to the play-off semi-final] "If it's purely a football contest, then I think Hibs are the only winners, so Rangers need to go and bully them. That worked well for them the last time they were at Easter Road [a 2-0 win], when they were really in their faces."
BBC Scotland's Tom English on Rangers
"They haven't set the heather alight but Rangers have improved considerably. There is a discipline about them which wasn't there before. They have a character about them. They don't throw the towel in. When they went a goal down, they were all calling for the ball."
It's all over for Queen of the South but the Dumfries side can be very proud of their season. The Doonhamers won 17 and drew 9 of their 36 league matches, hanging on to the coattails of the 'big three', and they pushed Rangers all the way in this play-off quarter-final.
They are sure to be a force in the Championship next season, although there is sure to be a few clubs sniffing around some of their younger stars.
Queen of the South manager James Fowler
"The players were excellent. When Rangers had us under the cosh, we stood up. The momentum of the game changes. If we got that second goal we could have taken that confidence on. We have had great support from the chairman, which is pleasing in my first season.
"The players have bought in to what we are trying to do. Their work ethic is up there with as good as I have seen. Rangers had us pegged back and we tweaked the formation. We weathered that storm. We got the lead and it was a real positive. Unfortunately, we couldn't get another goal. There will be some players moving on and some interest in the younger ones."
Never mind the Rangers' players legs, can the fans handle another high-stakes game so soon? There was a near full-house at Ibrox today and there will have been a lot of chewed fingernails. I suspect this play-off journey won't get any easier on the nerves.
The deal to bring five Newcastle players to Ibrox on loan in January has been widely criticised, given four of them were in no condition to make any meaningful contribution. But Rangers have found a gem in Haris Vuckic, who was once again their brightest light today. A constant menace in the final third, he also popped up with a fantastic clearing header late on, saving a certain goal.
Rangers need to go again at Ibrox on Wednesday night. Spirits will be high after making progress today but that effort may have taken its toll on the legs since the tempo was high throughout. Hibs will be well rested ahead of the next double-header. Will that be a factor?
The dejected Queen of the South players are out to applaud their band of followers at Ibrox and the home supporters join in with a sporting clap. James Fowler's side were under the cosh for long spells today but certainly gave Rangers a fright along the way, taking an unlikely lead then forcing a series of late corners as they sought a way back.
Rangers are through to meet Hibernian in the semi-final play-off. Those games are coming up on Wednesday and Saturday. The season is over for the Queen of the South.
Ian McShane fails to get his free-kick over the defensive wall and that's it. The final whistle sounds...
Free kick to Queens in a central position 25 yards out. Time for a hero?
Kevin Holt and Andy Durnan appeal to the assistant referee as Lee Wallace runs away to celebrate his goal.
We're into the 90th minute and we'll get three more.
Rangers are now operating with a back five and they are not straying from the edge of their own penalty area, inviting Queens to try and play through them.
Yet another corner to Queens but this time the delivery from Ian McShane is far too heavy and it's a long way back for the defenders who had come forward...