Finding the Third Proportional to 14,384 and 16,760

Step by Step Solution

1. Step 1: Write the proportion equation
   14,384 : 16,760 = 16,760 : x
2. Step 2: Convert to fraction form
   14,384/16,760 = 16,760/x
3. Step 3: Cross multiply
   14,384x = 16,760 × 16,760
4. Step 4: Simplify right side
   14,384x = 280,897,600
5. Step 5: Solve for x
   x = 280,897,600/14,384
6. Step 6: Final answer
   x = 19,528.48