Finding the Third Proportional to 32,637 and 71,493

Step by Step Solution

1. Step 1: Write the proportion equation
   32,637 : 71,493 = 71,493 : x
2. Step 2: Convert to fraction form
   32,637/71,493 = 71,493/x
3. Step 3: Cross multiply
   32,637x = 71,493 × 71,493
4. Step 4: Simplify right side
   32,637x = 5,111,249,049
5. Step 5: Solve for x
   x = 5,111,249,049/32,637
6. Step 6: Final answer
   x = 156,609.03