Finding the Third Proportional to 2,562 and 3,626

Step by Step Solution

1. Step 1: Write the proportion equation
   2,562 : 3,626 = 3,626 : x
2. Step 2: Convert to fraction form
   2,562/3,626 = 3,626/x
3. Step 3: Cross multiply
   2,562x = 3,626 × 3,626
4. Step 4: Simplify right side
   2,562x = 13,147,876
5. Step 5: Solve for x
   x = 13,147,876/2,562
6. Step 6: Final answer
   x = 5,131.88