Finding the Third Proportional to 9,014 and 12,057.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,014 : 12,057.50 = 12,057.50 : x
2. Step 2: Convert to fraction form
   9,014/12,057.50 = 12,057.50/x
3. Step 3: Cross multiply
   9,014x = 12,057.50 × 12,057.50
4. Step 4: Simplify right side
   9,014x = 145,383,306.25
5. Step 5: Solve for x
   x = 145,383,306.25/9,014
6. Step 6: Final answer
   x = 16,128.61