Finding the Third Proportional to 39,684.94 and 82,108.69

Step by Step Solution

1. Step 1: Write the proportion equation
   39,684.94 : 82,108.69 = 82,108.69 : x
2. Step 2: Convert to fraction form
   39,684.94/82,108.69 = 82,108.69/x
3. Step 3: Cross multiply
   39,684.94x = 82,108.69 × 82,108.69
4. Step 4: Simplify right side
   39,684.94x = 6,741,836,562.97
5. Step 5: Solve for x
   x = 6,741,836,562.97/39,684.94
6. Step 6: Final answer
   x = 169,884.02