Finding the Third Proportional to 2,424 and 4,256

Step by Step Solution

1. Step 1: Write the proportion equation
   2,424 : 4,256 = 4,256 : x
2. Step 2: Convert to fraction form
   2,424/4,256 = 4,256/x
3. Step 3: Cross multiply
   2,424x = 4,256 × 4,256
4. Step 4: Simplify right side
   2,424x = 18,113,536
5. Step 5: Solve for x
   x = 18,113,536/2,424
6. Step 6: Final answer
   x = 7,472.58