Finding the Third Proportional to 38,731.88 and 82,114.13

Step by Step Solution

1. Step 1: Write the proportion equation
   38,731.88 : 82,114.13 = 82,114.13 : x
2. Step 2: Convert to fraction form
   38,731.88/82,114.13 = 82,114.13/x
3. Step 3: Cross multiply
   38,731.88x = 82,114.13 × 82,114.13
4. Step 4: Simplify right side
   38,731.88x = 6,742,729,524.52
5. Step 5: Solve for x
   x = 6,742,729,524.52/38,731.88
6. Step 6: Final answer
   x = 174,087.35