Finding the Third Proportional to 33,732 and 72,566

Step by Step Solution

1. Step 1: Write the proportion equation
   33,732 : 72,566 = 72,566 : x
2. Step 2: Convert to fraction form
   33,732/72,566 = 72,566/x
3. Step 3: Cross multiply
   33,732x = 72,566 × 72,566
4. Step 4: Simplify right side
   33,732x = 5,265,824,356
5. Step 5: Solve for x
   x = 5,265,824,356/33,732
6. Step 6: Final answer
   x = 156,107.68