Finding the Third Proportional to 2,849 and 5,966

Step by Step Solution

1. Step 1: Write the proportion equation
   2,849 : 5,966 = 5,966 : x
2. Step 2: Convert to fraction form
   2,849/5,966 = 5,966/x
3. Step 3: Cross multiply
   2,849x = 5,966 × 5,966
4. Step 4: Simplify right side
   2,849x = 35,593,156
5. Step 5: Solve for x
   x = 35,593,156/2,849
6. Step 6: Final answer
   x = 12,493.21