Finding the Third Proportional to 2,780 and 5,874

Step by Step Solution

1. Step 1: Write the proportion equation
   2,780 : 5,874 = 5,874 : x
2. Step 2: Convert to fraction form
   2,780/5,874 = 5,874/x
3. Step 3: Cross multiply
   2,780x = 5,874 × 5,874
4. Step 4: Simplify right side
   2,780x = 34,503,876
5. Step 5: Solve for x
   x = 34,503,876/2,780
6. Step 6: Final answer
   x = 12,411.47