Finding the Third Proportional to 2,698 and 5,723

Step by Step Solution

1. Step 1: Write the proportion equation
   2,698 : 5,723 = 5,723 : x
2. Step 2: Convert to fraction form
   2,698/5,723 = 5,723/x
3. Step 3: Cross multiply
   2,698x = 5,723 × 5,723
4. Step 4: Simplify right side
   2,698x = 32,752,729
5. Step 5: Solve for x
   x = 32,752,729/2,698
6. Step 6: Final answer
   x = 12,139.63