[CentOS] chroot from 32-bit to 64-bit filesystem?

I have a 32-bit PXE environment and I want to chroot to a CentOS x64 root
filesystem.  Of course that doesn't work.  Any tricks or hacks that would
allow me to do that?  Currently I get the error:

chroot: /bin/bash: Exec format error

What if I updated my PXE environment to 64-bit.  Could I then chroot to a
32-bit?
I use PXE to quickly troubleshoot both 32-bit and 64-bit arch.

Thanks.
-Scott
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