Finding the Third Proportional to 2,706 and 5,845

Step by Step Solution

1. Step 1: Write the proportion equation
   2,706 : 5,845 = 5,845 : x
2. Step 2: Convert to fraction form
   2,706/5,845 = 5,845/x
3. Step 3: Cross multiply
   2,706x = 5,845 × 5,845
4. Step 4: Simplify right side
   2,706x = 34,164,025
5. Step 5: Solve for x
   x = 34,164,025/2,706
6. Step 6: Final answer
   x = 12,625.29