Question

Find the third proportional to $24,36$

Answer 1

Let x be the third proportion to $24,36$

$\therefore 24,36,x$ are in continued proportion

$24:36::36:x$

$\frac{24}{36}=\frac{36}{x}$

$24\times x=36\times 36$

$x=\frac{36\times 36}{24}$

$x=54$

$\therefore 54$ is third proportion to $24,36$