Finding the Third Proportional to 2,606 and 5,748

Step by Step Solution

1. Step 1: Write the proportion equation
   2,606 : 5,748 = 5,748 : x
2. Step 2: Convert to fraction form
   2,606/5,748 = 5,748/x
3. Step 3: Cross multiply
   2,606x = 5,748 × 5,748
4. Step 4: Simplify right side
   2,606x = 33,039,504
5. Step 5: Solve for x
   x = 33,039,504/2,606
6. Step 6: Final answer
   x = 12,678.24