Finding the Third Proportional to 39,590 and 82,456.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,590 : 82,456.50 = 82,456.50 : x
2. Step 2: Convert to fraction form
   39,590/82,456.50 = 82,456.50/x
3. Step 3: Cross multiply
   39,590x = 82,456.50 × 82,456.50
4. Step 4: Simplify right side
   39,590x = 6,799,074,392.25
5. Step 5: Solve for x
   x = 6,799,074,392.25/39,590
6. Step 6: Final answer
   x = 171,737.17