1956 AHSME Problem 16

The sum of three numbers is 98. The ratio of the first to the second is \frac {2}{3}, and the ratio of the second to the third is \frac {5}{8}. The second number is:

\textbf{(A)}\ 15 \qquad\textbf{(B)}\ 20 \qquad\textbf{(C)}\ 30 \qquad\textbf{(D)}\ 32 \qquad\textbf{(E)}\ 33

Full credit goes to MAA for authoring these problems. These problems were taken on the AOPS website.