Finding the Third Proportional to 10,407.88 and 15,872.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,407.88 : 15,872.50 = 15,872.50 : x
2. Step 2: Convert to fraction form
   10,407.88/15,872.50 = 15,872.50/x
3. Step 3: Cross multiply
   10,407.88x = 15,872.50 × 15,872.50
4. Step 4: Simplify right side
   10,407.88x = 251,936,256.25
5. Step 5: Solve for x
   x = 251,936,256.25/10,407.88
6. Step 6: Final answer
   x = 24,206.31