Finding the Third Proportional to 10,165.50 and 11,532.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,165.50 : 11,532.38 = 11,532.38 : x
2. Step 2: Convert to fraction form
   10,165.50/11,532.38 = 11,532.38/x
3. Step 3: Cross multiply
   10,165.50x = 11,532.38 × 11,532.38
4. Step 4: Simplify right side
   10,165.50x = 132,995,673.14
5. Step 5: Solve for x
   x = 132,995,673.14/10,165.50
6. Step 6: Final answer
   x = 13,083.04