Finding the Third Proportional to 10,872.56 and 16,535.81

Step by Step Solution

1. Step 1: Write the proportion equation
   10,872.56 : 16,535.81 = 16,535.81 : x
2. Step 2: Convert to fraction form
   10,872.56/16,535.81 = 16,535.81/x
3. Step 3: Cross multiply
   10,872.56x = 16,535.81 × 16,535.81
4. Step 4: Simplify right side
   10,872.56x = 273,433,095.04
5. Step 5: Solve for x
   x = 273,433,095.04/10,872.56
6. Step 6: Final answer
   x = 25,148.91