Finding the Third Proportional to 33,754.13 and 72,702.38

Step by Step Solution

1. Step 1: Write the proportion equation
   33,754.13 : 72,702.38 = 72,702.38 : x
2. Step 2: Convert to fraction form
   33,754.13/72,702.38 = 72,702.38/x
3. Step 3: Cross multiply
   33,754.13x = 72,702.38 × 72,702.38
4. Step 4: Simplify right side
   33,754.13x = 5,285,635,330.64
5. Step 5: Solve for x
   x = 5,285,635,330.64/33,754.13
6. Step 6: Final answer
   x = 156,592.28