Finding the Third Proportional to 39,291.75 and 82,432.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,291.75 : 82,432.50 = 82,432.50 : x
2. Step 2: Convert to fraction form
   39,291.75/82,432.50 = 82,432.50/x
3. Step 3: Cross multiply
   39,291.75x = 82,432.50 × 82,432.50
4. Step 4: Simplify right side
   39,291.75x = 6,795,117,056.25
5. Step 5: Solve for x
   x = 6,795,117,056.25/39,291.75
6. Step 6: Final answer
   x = 172,940.05