Finding the Third Proportional to 39,385.50 and 82,092

Step by Step Solution

1. Step 1: Write the proportion equation
   39,385.50 : 82,092 = 82,092 : x
2. Step 2: Convert to fraction form
   39,385.50/82,092 = 82,092/x
3. Step 3: Cross multiply
   39,385.50x = 82,092 × 82,092
4. Step 4: Simplify right side
   39,385.50x = 6,739,096,464
5. Step 5: Solve for x
   x = 6,739,096,464/39,385.50
6. Step 6: Final answer
   x = 171,106.03