Finding the Third Proportional to 2,162 and 5,837

Step by Step Solution

1. Step 1: Write the proportion equation
   2,162 : 5,837 = 5,837 : x
2. Step 2: Convert to fraction form
   2,162/5,837 = 5,837/x
3. Step 3: Cross multiply
   2,162x = 5,837 × 5,837
4. Step 4: Simplify right side
   2,162x = 34,070,569
5. Step 5: Solve for x
   x = 34,070,569/2,162
6. Step 6: Final answer
   x = 15,758.82