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