Finding the Third Proportional to 2,506 and 5,480

Step by Step Solution

1. Step 1: Write the proportion equation
   2,506 : 5,480 = 5,480 : x
2. Step 2: Convert to fraction form
   2,506/5,480 = 5,480/x
3. Step 3: Cross multiply
   2,506x = 5,480 × 5,480
4. Step 4: Simplify right side
   2,506x = 30,030,400
5. Step 5: Solve for x
   x = 30,030,400/2,506
6. Step 6: Final answer
   x = 11,983.40