Finding the Third Proportional to 2,562.75 and 5,626.69

Step by Step Solution

1. Step 1: Write the proportion equation
   2,562.75 : 5,626.69 = 5,626.69 : x
2. Step 2: Convert to fraction form
   2,562.75/5,626.69 = 5,626.69/x
3. Step 3: Cross multiply
   2,562.75x = 5,626.69 × 5,626.69
4. Step 4: Simplify right side
   2,562.75x = 31,659,612.22
5. Step 5: Solve for x
   x = 31,659,612.22/2,562.75
6. Step 6: Final answer
   x = 12,353.77