Finding the Third Proportional to 9,105 and 13,057.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,105 : 13,057.50 = 13,057.50 : x
2. Step 2: Convert to fraction form
   9,105/13,057.50 = 13,057.50/x
3. Step 3: Cross multiply
   9,105x = 13,057.50 × 13,057.50
4. Step 4: Simplify right side
   9,105x = 170,498,306.25
5. Step 5: Solve for x
   x = 170,498,306.25/9,105
6. Step 6: Final answer
   x = 18,725.79