We show that the recent experimental data of Toplicar and Finnemore on the superconducting proximity effect in Pb--Cd thin films can be understood within the McMillan tunneling model by using our new transition temperature (T/sub c/) formula and determining the parameters self-consistently. Agreement between the theoretical and the experimental values of T/sub c/, the gap, and the general shape and the height of the electronic density of state N/sub S/(E) curves is very good. In agreement with experiment, we find no low-energy peak in the density of states.