Finding the Third Proportional to 2,228.13 and 3,547.55

Step by Step Solution

1. Step 1: Write the proportion equation
   2,228.13 : 3,547.55 = 3,547.55 : x
2. Step 2: Convert to fraction form
   2,228.13/3,547.55 = 3,547.55/x
3. Step 3: Cross multiply
   2,228.13x = 3,547.55 × 3,547.55
4. Step 4: Simplify right side
   2,228.13x = 12,585,088.83
5. Step 5: Solve for x
   x = 12,585,088.83/2,228.13
6. Step 6: Final answer
   x = 5,648.27