Finding the Third Proportional to 11,256 and 16,400

Step by Step Solution

1. Step 1: Write the proportion equation
   11,256 : 16,400 = 16,400 : x
2. Step 2: Convert to fraction form
   11,256/16,400 = 16,400/x
3. Step 3: Cross multiply
   11,256x = 16,400 × 16,400
4. Step 4: Simplify right side
   11,256x = 268,960,000
5. Step 5: Solve for x
   x = 268,960,000/11,256
6. Step 6: Final answer
   x = 23,894.81