Finding the Third Proportional to 39,132 and 85,432.50

Step by Step Solution

1. Step 1: Write the proportion equation
   39,132 : 85,432.50 = 85,432.50 : x
2. Step 2: Convert to fraction form
   39,132/85,432.50 = 85,432.50/x
3. Step 3: Cross multiply
   39,132x = 85,432.50 × 85,432.50
4. Step 4: Simplify right side
   39,132x = 7,298,712,056.25
5. Step 5: Solve for x
   x = 7,298,712,056.25/39,132
6. Step 6: Final answer
   x = 186,515.18