Finding the Third Proportional to 35,724.38 and 78,454.13

Step by Step Solution

1. Step 1: Write the proportion equation
   35,724.38 : 78,454.13 = 78,454.13 : x
2. Step 2: Convert to fraction form
   35,724.38/78,454.13 = 78,454.13/x
3. Step 3: Cross multiply
   35,724.38x = 78,454.13 × 78,454.13
4. Step 4: Simplify right side
   35,724.38x = 6,155,049,729.52
5. Step 5: Solve for x
   x = 6,155,049,729.52/35,724.38
6. Step 6: Final answer
   x = 172,292.72