Finding the Third Proportional to 11,384 and 16,124

Step by Step Solution

1. Step 1: Write the proportion equation
   11,384 : 16,124 = 16,124 : x
2. Step 2: Convert to fraction form
   11,384/16,124 = 16,124/x
3. Step 3: Cross multiply
   11,384x = 16,124 × 16,124
4. Step 4: Simplify right side
   11,384x = 259,983,376
5. Step 5: Solve for x
   x = 259,983,376/11,384
6. Step 6: Final answer
   x = 22,837.61