Where is the default location for 32-bit programs installed by a user on a 64-bit...

Comprehensive and Detailed Explanation From Exact Extract:

On 64-bit versions of Windows operating systems (including Windows 7), 32-bit applications are installed by default into the folderC:\Program Files (x86). This separation allows the OS to distinguish between 64-bit and 32-bit applications and apply appropriate system calls and redirection.

C:\Program Filesis reserved for native 64-bit applications.

C:\ProgramDatacontains application data shared across users.

C:\Windowscontains system files, not program installations.

This structure is documented in Microsoft Windows Internals and Windows Forensics guides, including official NIST guidelines on Windows forensic investigations.