Finding the Third Proportional to 2,613.38 and 5,626.88

Step by Step Solution

1. Step 1: Write the proportion equation
   2,613.38 : 5,626.88 = 5,626.88 : x
2. Step 2: Convert to fraction form
   2,613.38/5,626.88 = 5,626.88/x
3. Step 3: Cross multiply
   2,613.38x = 5,626.88 × 5,626.88
4. Step 4: Simplify right side
   2,613.38x = 31,661,722.27
5. Step 5: Solve for x
   x = 31,661,722.27/2,613.38
6. Step 6: Final answer
   x = 12,115.26