Finding the Third Proportional to 35,757.38 and 78,655.88

Step by Step Solution

1. Step 1: Write the proportion equation
   35,757.38 : 78,655.88 = 78,655.88 : x
2. Step 2: Convert to fraction form
   35,757.38/78,655.88 = 78,655.88/x
3. Step 3: Cross multiply
   35,757.38x = 78,655.88 × 78,655.88
4. Step 4: Simplify right side
   35,757.38x = 6,186,746,672.02
5. Step 5: Solve for x
   x = 6,186,746,672.02/35,757.38
6. Step 6: Final answer
   x = 173,020.16