Finding the Third Proportional to 33,762 and 72,757

Step by Step Solution

1. Step 1: Write the proportion equation
   33,762 : 72,757 = 72,757 : x
2. Step 2: Convert to fraction form
   33,762/72,757 = 72,757/x
3. Step 3: Cross multiply
   33,762x = 72,757 × 72,757
4. Step 4: Simplify right side
   33,762x = 5,293,581,049
5. Step 5: Solve for x
   x = 5,293,581,049/33,762
6. Step 6: Final answer
   x = 156,791.10