Finding the Third Proportional to 5,626.55 and 12,265.59

Step by Step Solution

1. Step 1: Write the proportion equation
   5,626.55 : 12,265.59 = 12,265.59 : x
2. Step 2: Convert to fraction form
   5,626.55/12,265.59 = 12,265.59/x
3. Step 3: Cross multiply
   5,626.55x = 12,265.59 × 12,265.59
4. Step 4: Simplify right side
   5,626.55x = 150,444,790.04
5. Step 5: Solve for x
   x = 150,444,790.04/5,626.55
6. Step 6: Final answer
   x = 26,738.39