Finding the Third Proportional to 38,240.97 and 82,017.69

Step by Step Solution

1. Step 1: Write the proportion equation
   38,240.97 : 82,017.69 = 82,017.69 : x
2. Step 2: Convert to fraction form
   38,240.97/82,017.69 = 82,017.69/x
3. Step 3: Cross multiply
   38,240.97x = 82,017.69 × 82,017.69
4. Step 4: Simplify right side
   38,240.97x = 6,726,901,062.85
5. Step 5: Solve for x
   x = 6,726,901,062.85/38,240.97
6. Step 6: Final answer
   x = 175,908.23