Finding the Third Proportional to 3,162 and 5,865

Step by Step Solution

1. Step 1: Write the proportion equation
   3,162 : 5,865 = 5,865 : x
2. Step 2: Convert to fraction form
   3,162/5,865 = 5,865/x
3. Step 3: Cross multiply
   3,162x = 5,865 × 5,865
4. Step 4: Simplify right side
   3,162x = 34,398,225
5. Step 5: Solve for x
   x = 34,398,225/3,162
6. Step 6: Final answer
   x = 10,878.63