Finding the Third Proportional to 10,693.66 and 16,165.43

Step by Step Solution

1. Step 1: Write the proportion equation
   10,693.66 : 16,165.43 = 16,165.43 : x
2. Step 2: Convert to fraction form
   10,693.66/16,165.43 = 16,165.43/x
3. Step 3: Cross multiply
   10,693.66x = 16,165.43 × 16,165.43
4. Step 4: Simplify right side
   10,693.66x = 261,321,211.70
5. Step 5: Solve for x
   x = 261,321,211.70/10,693.66
6. Step 6: Final answer
   x = 24,437.02