Finding the Third Proportional to 2,424 and 3,734

Step by Step Solution

1. Step 1: Write the proportion equation
   2,424 : 3,734 = 3,734 : x
2. Step 2: Convert to fraction form
   2,424/3,734 = 3,734/x
3. Step 3: Cross multiply
   2,424x = 3,734 × 3,734
4. Step 4: Simplify right side
   2,424x = 13,942,756
5. Step 5: Solve for x
   x = 13,942,756/2,424
6. Step 6: Final answer
   x = 5,751.96