Finding the Third Proportional to 2,864 and 5,371

Step by Step Solution

1. Step 1: Write the proportion equation
   2,864 : 5,371 = 5,371 : x
2. Step 2: Convert to fraction form
   2,864/5,371 = 5,371/x
3. Step 3: Cross multiply
   2,864x = 5,371 × 5,371
4. Step 4: Simplify right side
   2,864x = 28,847,641
5. Step 5: Solve for x
   x = 28,847,641/2,864
6. Step 6: Final answer
   x = 10,072.50