Finding the Third Proportional to 10,457 and 16,320.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,457 : 16,320.50 = 16,320.50 : x
2. Step 2: Convert to fraction form
   10,457/16,320.50 = 16,320.50/x
3. Step 3: Cross multiply
   10,457x = 16,320.50 × 16,320.50
4. Step 4: Simplify right side
   10,457x = 266,358,720.25
5. Step 5: Solve for x
   x = 266,358,720.25/10,457
6. Step 6: Final answer
   x = 25,471.81