I assume you want to say that the download has finished, but the installation will not start/complete. You cannot install Project x64 alongside office x86, you'll need to either use Project x86, or switch to Office x64.
Check out
Cannot install Project Professional 2010 64-bit. It includes a reference to
http://technet.microsoft.com/en-us/library/ee681792.aspx which specifies:
Side-by-side installations No support is provided for side-by-side installations of 64-bit and 32-bit editions of Office, including across applications. For example, there is no support for side-by-side installations of the 2007
Microsoft Office system 32-bit with Office 2010 64-bit, or for Microsoft SharePoint Workspace 2010 64-bit and Microsoft Excel 2010 32-bit.
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