Finding the Third Proportional to 2,626 and 5,683

Step by Step Solution

1. Step 1: Write the proportion equation
   2,626 : 5,683 = 5,683 : x
2. Step 2: Convert to fraction form
   2,626/5,683 = 5,683/x
3. Step 3: Cross multiply
   2,626x = 5,683 × 5,683
4. Step 4: Simplify right side
   2,626x = 32,296,489
5. Step 5: Solve for x
   x = 32,296,489/2,626
6. Step 6: Final answer
   x = 12,298.74