Finding the Third Proportional to 33,780 and 72,744

Step by Step Solution

1. Step 1: Write the proportion equation
   33,780 : 72,744 = 72,744 : x
2. Step 2: Convert to fraction form
   33,780/72,744 = 72,744/x
3. Step 3: Cross multiply
   33,780x = 72,744 × 72,744
4. Step 4: Simplify right side
   33,780x = 5,291,689,536
5. Step 5: Solve for x
   x = 5,291,689,536/33,780
6. Step 6: Final answer
   x = 156,651.56