Finding the Third Proportional to 14,142.09 and 16,465.78

Step by Step Solution

1. Step 1: Write the proportion equation
   14,142.09 : 16,465.78 = 16,465.78 : x
2. Step 2: Convert to fraction form
   14,142.09/16,465.78 = 16,465.78/x
3. Step 3: Cross multiply
   14,142.09x = 16,465.78 × 16,465.78
4. Step 4: Simplify right side
   14,142.09x = 271,121,952.17
5. Step 5: Solve for x
   x = 271,121,952.17/14,142.09
6. Step 6: Final answer
   x = 19,171.27