Finding the Third Proportional to 10,199.25 and 15,760.25

Step by Step Solution

1. Step 1: Write the proportion equation
   10,199.25 : 15,760.25 = 15,760.25 : x
2. Step 2: Convert to fraction form
   10,199.25/15,760.25 = 15,760.25/x
3. Step 3: Cross multiply
   10,199.25x = 15,760.25 × 15,760.25
4. Step 4: Simplify right side
   10,199.25x = 248,385,480.06
5. Step 5: Solve for x
   x = 248,385,480.06/10,199.25
6. Step 6: Final answer
   x = 24,353.31