Finding the Third Proportional to 40,142.50 and 82,714.75

Step by Step Solution

1. Step 1: Write the proportion equation
   40,142.50 : 82,714.75 = 82,714.75 : x
2. Step 2: Convert to fraction form
   40,142.50/82,714.75 = 82,714.75/x
3. Step 3: Cross multiply
   40,142.50x = 82,714.75 × 82,714.75
4. Step 4: Simplify right side
   40,142.50x = 6,841,729,867.56
5. Step 5: Solve for x
   x = 6,841,729,867.56/40,142.50
6. Step 6: Final answer
   x = 170,436.07