Verified Answer :

\(\frac{x}{5}= \frac{2}{3} = \frac{5}{y}\)
Break the equation into parts;
\(\frac{x}{5} = \frac{2}{3} ; \frac{2}{3}= \frac{5}{y}\)
Solving for x;
\(\frac{x}{5} = \frac{2}{3}\)
x=\(\frac{10}{3}\)
Solving for y;
\(\frac{2}{3} = \frac{5}{y} y= \frac{3*5}{2} y= \frac{15}{2}\)
\(\frac{x}{y} = \frac{10/3}{15/2}\)
\(\frac{x}{y} = \frac{4}{15}\)