Finding the Third Proportional to 2,601 and 5,706

Step by Step Solution

1. Step 1: Write the proportion equation
   2,601 : 5,706 = 5,706 : x
2. Step 2: Convert to fraction form
   2,601/5,706 = 5,706/x
3. Step 3: Cross multiply
   2,601x = 5,706 × 5,706
4. Step 4: Simplify right side
   2,601x = 32,558,436
5. Step 5: Solve for x
   x = 32,558,436/2,601
6. Step 6: Final answer
   x = 12,517.66