Finding the Third Proportional to 33,366 and 72,539

Step by Step Solution

1. Step 1: Write the proportion equation
   33,366 : 72,539 = 72,539 : x
2. Step 2: Convert to fraction form
   33,366/72,539 = 72,539/x
3. Step 3: Cross multiply
   33,366x = 72,539 × 72,539
4. Step 4: Simplify right side
   33,366x = 5,261,906,521
5. Step 5: Solve for x
   x = 5,261,906,521/33,366
6. Step 6: Final answer
   x = 157,702.65