Finding the Third Proportional to 11,264 and 24,256

Step by Step Solution

1. Step 1: Write the proportion equation
   11,264 : 24,256 = 24,256 : x
2. Step 2: Convert to fraction form
   11,264/24,256 = 24,256/x
3. Step 3: Cross multiply
   11,264x = 24,256 × 24,256
4. Step 4: Simplify right side
   11,264x = 588,353,536
5. Step 5: Solve for x
   x = 588,353,536/11,264
6. Step 6: Final answer
   x = 52,233.09