Finding the Third Proportional to 11,514 and 16,884

Step by Step Solution

1. Step 1: Write the proportion equation
   11,514 : 16,884 = 16,884 : x
2. Step 2: Convert to fraction form
   11,514/16,884 = 16,884/x
3. Step 3: Cross multiply
   11,514x = 16,884 × 16,884
4. Step 4: Simplify right side
   11,514x = 285,069,456
5. Step 5: Solve for x
   x = 285,069,456/11,514
6. Step 6: Final answer
   x = 24,758.51