Finding the Third Proportional to 2,706 and 5,912

Step by Step Solution

1. Step 1: Write the proportion equation
   2,706 : 5,912 = 5,912 : x
2. Step 2: Convert to fraction form
   2,706/5,912 = 5,912/x
3. Step 3: Cross multiply
   2,706x = 5,912 × 5,912
4. Step 4: Simplify right side
   2,706x = 34,951,744
5. Step 5: Solve for x
   x = 34,951,744/2,706
6. Step 6: Final answer
   x = 12,916.39