Finding the Third Proportional to 2,786 and 5,374

Step by Step Solution

1. Step 1: Write the proportion equation
   2,786 : 5,374 = 5,374 : x
2. Step 2: Convert to fraction form
   2,786/5,374 = 5,374/x
3. Step 3: Cross multiply
   2,786x = 5,374 × 5,374
4. Step 4: Simplify right side
   2,786x = 28,879,876
5. Step 5: Solve for x
   x = 28,879,876/2,786
6. Step 6: Final answer
   x = 10,366.07