Finding the Third Proportional to 2,456 and 5,480

Step by Step Solution

1. Step 1: Write the proportion equation
   2,456 : 5,480 = 5,480 : x
2. Step 2: Convert to fraction form
   2,456/5,480 = 5,480/x
3. Step 3: Cross multiply
   2,456x = 5,480 × 5,480
4. Step 4: Simplify right side
   2,456x = 30,030,400
5. Step 5: Solve for x
   x = 30,030,400/2,456
6. Step 6: Final answer
   x = 12,227.36