Finding the Third Proportional to 2,574 and 5,698

Step by Step Solution

1. Step 1: Write the proportion equation
   2,574 : 5,698 = 5,698 : x
2. Step 2: Convert to fraction form
   2,574/5,698 = 5,698/x
3. Step 3: Cross multiply
   2,574x = 5,698 × 5,698
4. Step 4: Simplify right side
   2,574x = 32,467,204
5. Step 5: Solve for x
   x = 32,467,204/2,574
6. Step 6: Final answer
   x = 12,613.52