Finding the Third Proportional to 38,432 and 89,766.50

Step by Step Solution

1. Step 1: Write the proportion equation
   38,432 : 89,766.50 = 89,766.50 : x
2. Step 2: Convert to fraction form
   38,432/89,766.50 = 89,766.50/x
3. Step 3: Cross multiply
   38,432x = 89,766.50 × 89,766.50
4. Step 4: Simplify right side
   38,432x = 8,058,024,522.25
5. Step 5: Solve for x
   x = 8,058,024,522.25/38,432
6. Step 6: Final answer
   x = 209,669.66