Finding the Third Proportional to 33,747 and 72,675

Step by Step Solution

1. Step 1: Write the proportion equation
   33,747 : 72,675 = 72,675 : x
2. Step 2: Convert to fraction form
   33,747/72,675 = 72,675/x
3. Step 3: Cross multiply
   33,747x = 72,675 × 72,675
4. Step 4: Simplify right side
   33,747x = 5,281,655,625
5. Step 5: Solve for x
   x = 5,281,655,625/33,747
6. Step 6: Final answer
   x = 156,507.41