  We apply direct frequency-comb spectroscopy, in combination with precision cw
spectroscopy, to measure the ${\rm 4s4p} ^3P_1 \to {\rm 4s5s} ^3S_1$ transition
frequency in cold calcium atoms. A 657 nm ultrastable cw laser was used to
excite atoms on the narrow ($\gamma \sim 400$ Hz) ${\rm 4s^2} ^1S_0 \to {\rm
4s4p} ^3P_1$ clock transition, and the direct output of the frequency comb was
used to excite those atoms from the ${\rm 4s4p} ^3P_1$ state to the ${\rm 4s5s}
^3S_1$ state. The resonance of this second stage was detected by observing a
decrease in population of the ground state as a result of atoms being optically
pumped to the metastable ${\rm 4s4p} ^3P_{0,2}$ states. The ${\rm 4s4p} ^3P_1
\to {\rm 4s5s} ^3S_1$ transition frequency is measured to be $\nu = 489 544 285
713(56)$ kHz; which is an improvement by almost four orders of magnitude over
the previously measured value. In addition, we demonstrate spectroscopy on
magnetically trapped atoms in the ${\rm 4s4p} ^3P_2$ state.
