Finding the Third Proportional to 38,761.88 and 82,135.69

Step by Step Solution

1. Step 1: Write the proportion equation
   38,761.88 : 82,135.69 = 82,135.69 : x
2. Step 2: Convert to fraction form
   38,761.88/82,135.69 = 82,135.69/x
3. Step 3: Cross multiply
   38,761.88x = 82,135.69 × 82,135.69
4. Step 4: Simplify right side
   38,761.88x = 6,746,271,161.10
5. Step 5: Solve for x
   x = 6,746,271,161.10/38,761.88
6. Step 6: Final answer
   x = 174,043.98