Finding the Third Proportional to 2,680 and 5,849

Step by Step Solution

1. Step 1: Write the proportion equation
   2,680 : 5,849 = 5,849 : x
2. Step 2: Convert to fraction form
   2,680/5,849 = 5,849/x
3. Step 3: Cross multiply
   2,680x = 5,849 × 5,849
4. Step 4: Simplify right side
   2,680x = 34,210,801
5. Step 5: Solve for x
   x = 34,210,801/2,680
6. Step 6: Final answer
   x = 12,765.22