Finding the Third Proportional to 2,162 and 4,759

Step by Step Solution

1. Step 1: Write the proportion equation
   2,162 : 4,759 = 4,759 : x
2. Step 2: Convert to fraction form
   2,162/4,759 = 4,759/x
3. Step 3: Cross multiply
   2,162x = 4,759 × 4,759
4. Step 4: Simplify right side
   2,162x = 22,648,081
5. Step 5: Solve for x
   x = 22,648,081/2,162
6. Step 6: Final answer
   x = 10,475.52