Finding the Third Proportional to 10,425 and 14,857.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,425 : 14,857.50 = 14,857.50 : x
2. Step 2: Convert to fraction form
   10,425/14,857.50 = 14,857.50/x
3. Step 3: Cross multiply
   10,425x = 14,857.50 × 14,857.50
4. Step 4: Simplify right side
   10,425x = 220,745,306.25
5. Step 5: Solve for x
   x = 220,745,306.25/10,425
6. Step 6: Final answer
   x = 21,174.61