Finding the Third Proportional to 41,647.50 and 89,451

Step by Step Solution

1. Step 1: Write the proportion equation
   41,647.50 : 89,451 = 89,451 : x
2. Step 2: Convert to fraction form
   41,647.50/89,451 = 89,451/x
3. Step 3: Cross multiply
   41,647.50x = 89,451 × 89,451
4. Step 4: Simplify right side
   41,647.50x = 8,001,481,401
5. Step 5: Solve for x
   x = 8,001,481,401/41,647.50
6. Step 6: Final answer
   x = 192,123.93