Spot My Mistake?

[soda]

27 people NL HE tourney. $100 each. 1st is $1000, 2nd $700, 3rd $500.

3 players left, I am on the button with QTo. I have 24,000, SB has 28,000, BB has 29,000.

Blinds are 4k, 2k.

I raised to 10,000, after standard deliberation, SB pushes all in. BB folds.

I was pretty sure that the SB had a medium sized pair or AK. I would have been shocked to see AA, KK or even QQ. I read him for specifically JJ down to about 55 or AK. NOT AQ. I had been playing with him for about 5 hours and felt my read was good.

I called.

What I'd like to know is, what is the best way to play this hand in this situation?

Thank you,

soda

Results to follow.