Finding the Third Proportional to 4,492.50 and 9,107.25

Step by Step Solution

1. Step 1: Write the proportion equation
   4,492.50 : 9,107.25 = 9,107.25 : x
2. Step 2: Convert to fraction form
   4,492.50/9,107.25 = 9,107.25/x
3. Step 3: Cross multiply
   4,492.50x = 9,107.25 × 9,107.25
4. Step 4: Simplify right side
   4,492.50x = 82,942,002.56
5. Step 5: Solve for x
   x = 82,942,002.56/4,492.50
6. Step 6: Final answer
   x = 18,462.33