Finding the Third Proportional to 39,760 and 82,040

Step by Step Solution

1. Step 1: Write the proportion equation
   39,760 : 82,040 = 82,040 : x
2. Step 2: Convert to fraction form
   39,760/82,040 = 82,040/x
3. Step 3: Cross multiply
   39,760x = 82,040 × 82,040
4. Step 4: Simplify right side
   39,760x = 6,730,561,600
5. Step 5: Solve for x
   x = 6,730,561,600/39,760
6. Step 6: Final answer
   x = 169,279.72