Finding the Third Proportional to 4,662 and 10,057.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,662 : 10,057.50 = 10,057.50 : x
2. Step 2: Convert to fraction form
   4,662/10,057.50 = 10,057.50/x
3. Step 3: Cross multiply
   4,662x = 10,057.50 × 10,057.50
4. Step 4: Simplify right side
   4,662x = 101,153,306.25
5. Step 5: Solve for x
   x = 101,153,306.25/4,662
6. Step 6: Final answer
   x = 21,697.41