Finding the Third Proportional to 2,404 and 3,720

Step by Step Solution

1. Step 1: Write the proportion equation
   2,404 : 3,720 = 3,720 : x
2. Step 2: Convert to fraction form
   2,404/3,720 = 3,720/x
3. Step 3: Cross multiply
   2,404x = 3,720 × 3,720
4. Step 4: Simplify right side
   2,404x = 13,838,400
5. Step 5: Solve for x
   x = 13,838,400/2,404
6. Step 6: Final answer
   x = 5,756.41