Finding the Third Proportional to 9,057 and 12,091.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,057 : 12,091.50 = 12,091.50 : x
2. Step 2: Convert to fraction form
   9,057/12,091.50 = 12,091.50/x
3. Step 3: Cross multiply
   9,057x = 12,091.50 × 12,091.50
4. Step 4: Simplify right side
   9,057x = 146,204,372.25
5. Step 5: Solve for x
   x = 146,204,372.25/9,057
6. Step 6: Final answer
   x = 16,142.69