Finding the Third Proportional to 3,872 and 5,480

Step by Step Solution

1. Step 1: Write the proportion equation
   3,872 : 5,480 = 5,480 : x
2. Step 2: Convert to fraction form
   3,872/5,480 = 5,480/x
3. Step 3: Cross multiply
   3,872x = 5,480 × 5,480
4. Step 4: Simplify right side
   3,872x = 30,030,400
5. Step 5: Solve for x
   x = 30,030,400/3,872
6. Step 6: Final answer
   x = 7,755.79