Hi Terry,
I'd imagine you can do it by calling through the COM object model (basically the same as you would with VBA).
I think Range has a GoalSeek method.
The Microsoft.Office.Tools.Excel assembly is part of VSTO, and not compatible with Excel-DNA. But it just provides some wrappers over the COM object model, so all the functionality is available through the regular interop assemblies in the Excel-DNA.Interop
package.
Please write back if you get stuck while trying this out.
Regards,
Govert