Finding the Third Proportional to 2,512 and 5,456

Step by Step Solution

1. Step 1: Write the proportion equation
   2,512 : 5,456 = 5,456 : x
2. Step 2: Convert to fraction form
   2,512/5,456 = 5,456/x
3. Step 3: Cross multiply
   2,512x = 5,456 × 5,456
4. Step 4: Simplify right side
   2,512x = 29,767,936
5. Step 5: Solve for x
   x = 29,767,936/2,512
6. Step 6: Final answer
   x = 11,850.29