Finding the Third Proportional to 10,138.50 and 15,150.38

Step by Step Solution

1. Step 1: Write the proportion equation
   10,138.50 : 15,150.38 = 15,150.38 : x
2. Step 2: Convert to fraction form
   10,138.50/15,150.38 = 15,150.38/x
3. Step 3: Cross multiply
   10,138.50x = 15,150.38 × 15,150.38
4. Step 4: Simplify right side
   10,138.50x = 229,533,862.64
5. Step 5: Solve for x
   x = 229,533,862.64/10,138.50
6. Step 6: Final answer
   x = 22,639.82