Finding the Third Proportional to 2,830 and 5,864

Step by Step Solution

1. Step 1: Write the proportion equation
   2,830 : 5,864 = 5,864 : x
2. Step 2: Convert to fraction form
   2,830/5,864 = 5,864/x
3. Step 3: Cross multiply
   2,830x = 5,864 × 5,864
4. Step 4: Simplify right side
   2,830x = 34,386,496
5. Step 5: Solve for x
   x = 34,386,496/2,830
6. Step 6: Final answer
   x = 12,150.71