Ferrari's Sebastian Vettel takes pole for Sunday's race
German's 50th pole position in F1
Red Bull's Max Verstappen second and Lewis Hamilton third
Bottas fourth and Raikkonen fifth
Hamilton can seal title on Sunday - needs to finish fifth
This is a crucial qualifying session for this man.
Image source, Getty ImagesSebastian Vettel needs to win this race and hope Lewis Hamilton comes outside the top five if he is to keep his hopes of another world title alive.
Can Vettel take pole ahead of the Brit? Let's find out.
We are going to take a little break and we will be back at 18:00 BST before qualifying starts at 19:00 BST. See you then.
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What do our expects think will happen this weekend?
Find out by listening to a preview of the Mexican Grand Prix with the 5 live Formula 1 team below.
Andrew Benson
BBC Sport’s chief F1 writer
Red Bull's Max Verstappen headed Lewis Hamilton in final practice at the Mexican Grand Prix.
Hamilton was struggling for pace for much of the session but finally got a lap together to end up 0.075 seconds slower than the Dutchman.
Verstappen was fastest despite errors at the hairpin in the final stadium section on each of his best laps.
Hamilton will win the title if he comes fifth or better on Sunday regardless of Sebastian Vettel's result.
If the German wins, the Ferrari driver needs Hamilton to be sixth or lower to keep the fight going to the next race in Brazil.
If Vettel is second, Hamilton needs only a ninth-place finish to secure the title.
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Phil Slocombe: Don't believe Lewis would be happy with a coronation by finishing 5th; he will want to race for the title.
Allan McNish
Formula 1 analyst on BBC Radio 5 live sports extra
I would say Red Bull are looking very sharp. It's going to need a very good lap from Lewis Hamilton to make it to the front row of the grid. It's going to be a very tight battle.
And these are all the numbers from the end of a thrilling third practice session at the Mexican Grand Prix.
The top six are separated by only 0.404 seconds. It is all set up very nicely for qualifying in less than two hours' time.
Image source, F1
Tom Clarkson
BBC Radio 5 live sports extra commentator in Mexico City
I think qualifying is going to be very, very close. From my observations in the Stadium section, Max Verstappen has a lot of time to come. If he hooks it up he's looking pretty sharp.
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Kristine Kirby: Seven hundredths of a sec behind VES for @LewisHamilton, external, not bad considering he & the track are squabbling now.
And that is the end of session three. And we have had three different drivers go fastest in three sessions - Valtteri Bottas in session one, Daniel Ricciardo in session two and now Max Verstappen in session three.
Lewis Hamilton, as he has been in all sessions so far, is the second quickest.
Sebastian Vettel is third and will be hoping for better in qualifying later on.
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Romain Grosjean has a big wobble as he enters the stadium section. A poor weekend so far for him, and he is only 17th today.
Good news for the home fans.
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The Red Bull mechanics are having a close look at Daniel Ricciardo's car. He failed to finish last weekend because of an engine failure.
Image source, Rex Features"I made a mistake, sorry," says Lance Stroll after taking the scenic route off the track. The Canadian is down in 12th, but one place in front of his Williams team-mate Felipe Massa.
Six minutes left. Max Verstappen (first) and Valtteri Bottas (fourth) are among the cars currently out there.
Felipe Massa may have the top speed on the speed trap, but he is down in 13th.
No McLaren on the list, with Fernando Alonso 18th and Stoffel Vandoorne 19th, although both are going to be near the back of the grid because of hefty track penalties.
Image source, .A fascinating practice session so far. Now it is Lewis Hamilton who moves up to second. But he misses out on Verstappen's best time by only 0.075 seconds. So, so close. Eleven minutes left for Hamilton to edge past the Dutchman.
Only four tenths of a second separate the top six.
Tom Clarkson
BBC Radio 5 live sports extra commentator in Mexico City
There is so much more time to come from Max Verstappen. He had a lock up out there in sector three - there are a couple tenths of a second for him to find.
At the moment, Hamilton is down to sixth after Daniel Ricciardo jumped up to third.
Ricciardo's Red Bull team-mate Max Verstappen extends his advantage with a time of 1:17.113. The track record has been broken five times in this session. Qualifying could be very, very interesting.
Image source, Getty ImagesAllan McNish
Formula 1 analyst on BBC Radio 5 live sports extra
Lewis Hamilton yesterday had an issue with slow laps - he wasn't keeping the exhaust cool enough.