Finding the Third Proportional to 11,142 and 16,383

Step by Step Solution

1. Step 1: Write the proportion equation
   11,142 : 16,383 = 16,383 : x
2. Step 2: Convert to fraction form
   11,142/16,383 = 16,383/x
3. Step 3: Cross multiply
   11,142x = 16,383 × 16,383
4. Step 4: Simplify right side
   11,142x = 268,402,689
5. Step 5: Solve for x
   x = 268,402,689/11,142
6. Step 6: Final answer
   x = 24,089.27