Finding the Third Proportional to 10,913.91 and 16,688.06

Step by Step Solution

1. Step 1: Write the proportion equation
   10,913.91 : 16,688.06 = 16,688.06 : x
2. Step 2: Convert to fraction form
   10,913.91/16,688.06 = 16,688.06/x
3. Step 3: Cross multiply
   10,913.91x = 16,688.06 × 16,688.06
4. Step 4: Simplify right side
   10,913.91x = 278,491,234.44
5. Step 5: Solve for x
   x = 278,491,234.44/10,913.91
6. Step 6: Final answer
   x = 25,517.10