Finding the Third Proportional to 33,624 and 72,432

Step by Step Solution

1. Step 1: Write the proportion equation
   33,624 : 72,432 = 72,432 : x
2. Step 2: Convert to fraction form
   33,624/72,432 = 72,432/x
3. Step 3: Cross multiply
   33,624x = 72,432 × 72,432
4. Step 4: Simplify right side
   33,624x = 5,246,394,624
5. Step 5: Solve for x
   x = 5,246,394,624/33,624
6. Step 6: Final answer
   x = 156,031.25