Finding the Third Proportional to 2,162 and 4,742

Step by Step Solution

1. Step 1: Write the proportion equation
   2,162 : 4,742 = 4,742 : x
2. Step 2: Convert to fraction form
   2,162/4,742 = 4,742/x
3. Step 3: Cross multiply
   2,162x = 4,742 × 4,742
4. Step 4: Simplify right side
   2,162x = 22,486,564
5. Step 5: Solve for x
   x = 22,486,564/2,162
6. Step 6: Final answer
   x = 10,400.82