The board of trustees of state institutions of higher learning is hereby authorized to cooperate with the state building commission, in the discretion of both agencies, in the employment of technical and professional personnel for supervising the planning and constructing or repairs of physical plant facilities located on the campuses of the several institutions of higher learning. Upon determination by the state building commission as to the proportionate amount due from the board of trustees for salaries and other expenses of such employees, said board is authorized and empowered to pay over to the state building commission such sums from funds available to the board of trustees of state institutions of higher learning for such purposes.