Finding the Third Proportional to 2,256 and 5,436

Step by Step Solution

1. Step 1: Write the proportion equation
   2,256 : 5,436 = 5,436 : x
2. Step 2: Convert to fraction form
   2,256/5,436 = 5,436/x
3. Step 3: Cross multiply
   2,256x = 5,436 × 5,436
4. Step 4: Simplify right side
   2,256x = 29,550,096
5. Step 5: Solve for x
   x = 29,550,096/2,256
6. Step 6: Final answer
   x = 13,098.45