Finding the Third Proportional to 33,366 and 72,555

Step by Step Solution

1. Step 1: Write the proportion equation
   33,366 : 72,555 = 72,555 : x
2. Step 2: Convert to fraction form
   33,366/72,555 = 72,555/x
3. Step 3: Cross multiply
   33,366x = 72,555 × 72,555
4. Step 4: Simplify right side
   33,366x = 5,264,228,025
5. Step 5: Solve for x
   x = 5,264,228,025/33,366
6. Step 6: Final answer
   x = 157,772.22