Finding the Third Proportional to 3,840 and 4,404

Step by Step Solution

1. Step 1: Write the proportion equation
   3,840 : 4,404 = 4,404 : x
2. Step 2: Convert to fraction form
   3,840/4,404 = 4,404/x
3. Step 3: Cross multiply
   3,840x = 4,404 × 4,404
4. Step 4: Simplify right side
   3,840x = 19,395,216
5. Step 5: Solve for x
   x = 19,395,216/3,840
6. Step 6: Final answer
   x = 5,050.84