I'm writing a program in Visual Studio C++ which needs to run natively as a 32-bit process on any computer running Windows XP 32-bit, or any later Windows operating system.  This program needs to be able to access the C:\Windows\system32\ folder on a computer, regardless of whether the program is running on a 64-bit or 32-bit system.  To do this, I was using Wow64DisableWow64FsRedirection to disable the redirection that Windows typically does to 32-bit processes, sending them to C:\Windows\syswow64.  Unfortunately, this breaks compatibility -- though my program can run on Server 2003 and XP x64 edition, the program fails whenever it runs on a 32-bit XP RTM system, giving me this error:
[Program Name] - Entry Point Not Found
  The procedure entry point Wow64DisableWow64FsRedirection could not be located
  in the dynamic link library KERNEL32.dll.
Since the system is 32-bit, the call is obviously superfluous, but I can't figure out a way to determine at runtime whether a system is 64-bit or not, and therefore whether or not to skip the call, without adding another call that itself breaks compatibility, such as IsWow64Process(), which requires XP Service Pack 2.
tl;dr: How can I determine whether a system is 64-bit or 32-bit without using any of the calls that were introduced after the advent of consumer 64-bit Windows.