Finding the Third Proportional to 2,256 and 3,456

Step by Step Solution

1. Step 1: Write the proportion equation
   2,256 : 3,456 = 3,456 : x
2. Step 2: Convert to fraction form
   2,256/3,456 = 3,456/x
3. Step 3: Cross multiply
   2,256x = 3,456 × 3,456
4. Step 4: Simplify right side
   2,256x = 11,943,936
5. Step 5: Solve for x
   x = 11,943,936/2,256
6. Step 6: Final answer
   x = 5,294.30