Finding the Third Proportional to 3,880 and 5,404

Step by Step Solution

1. Step 1: Write the proportion equation
   3,880 : 5,404 = 5,404 : x
2. Step 2: Convert to fraction form
   3,880/5,404 = 5,404/x
3. Step 3: Cross multiply
   3,880x = 5,404 × 5,404
4. Step 4: Simplify right side
   3,880x = 29,203,216
5. Step 5: Solve for x
   x = 29,203,216/3,880
6. Step 6: Final answer
   x = 7,526.60