Camtasia Studio supports export of its own recordings and projects to several multimedia formats, including Flash video (*.flv). It doesn't seem there exist any other program that would be capable of working with CAMPROJ files, so Camtasia is your only choice.
Convert Camtasia Studio project to Flash video file.
We have found one software suitable in our database for this conversion.
Microsoft Windows software - convert camproj to flv on Windows
A screen capture and video editing software
Convert from camproj file format
The table with program actions contains information about what each program is capable of doing with their files. This may be a good pointer for further searches for certain file conversions and help you find the converter you are looking for if our search result is insufficient for you. However, it is far from perfect and may sometimes show results which are not really usable because of the nature of the software handles the files. So a conversion that appears as possible, just because of matched actions, may in fact not be possible.