Finding the Third Proportional to 10,141.50 and 15,629.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,141.50 : 15,629.25 = 15,629.25 : x
2. Step 2: Convert to fraction form
   10,141.50/15,629.25 = 15,629.25/x
3. Step 3: Cross multiply
   10,141.50x = 15,629.25 × 15,629.25
4. Step 4: Simplify right side
   10,141.50x = 244,273,455.56
5. Step 5: Solve for x
   x = 244,273,455.56/10,141.50
6. Step 6: Final answer
   x = 24,086.52