Finding the Third Proportional to 10,407.56 and 15,872.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,407.56 : 15,872.06 = 15,872.06 : x
2. Step 2: Convert to fraction form
   10,407.56/15,872.06 = 15,872.06/x
3. Step 3: Cross multiply
   10,407.56x = 15,872.06 × 15,872.06
4. Step 4: Simplify right side
   10,407.56x = 251,922,368.00
5. Step 5: Solve for x
   x = 251,922,368.00/10,407.56
6. Step 6: Final answer
   x = 24,205.70