Finding the Third Proportional to 2,520 and 3,744

Step by Step Solution

1. Step 1: Write the proportion equation
   2,520 : 3,744 = 3,744 : x
2. Step 2: Convert to fraction form
   2,520/3,744 = 3,744/x
3. Step 3: Cross multiply
   2,520x = 3,744 × 3,744
4. Step 4: Simplify right side
   2,520x = 14,017,536
5. Step 5: Solve for x
   x = 14,017,536/2,520
6. Step 6: Final answer
   x = 5,562.51