AK hand ?? in multi satelite

[fireman664]

set up....
re-buy/add-on satelite. 292 players with 161 addons and 614 rebuys. 15 entries pd. 55 players left, blinds 600-1200 75 ante.

I have $40K...the average is around 30K. Big stack at my table with $125K (LAG)...hes been a bully, and willing to gamble.
I'm UTG with AK.

I raise to $3600 (my standard raise)...folded to bigstack (on the button) who reraises to $7200....folded back to me.....push or fold situation IMO???.
He has shown a willingness to gamble (A9s, QJs all ins preflop against smaller stacks) so my thinking is Push.

Let me know some of your thoughts.....thanks