Finding the Third Proportional to 2,223.75 and 3,639.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,223.75 : 3,639.38 = 3,639.38 : x
2. Step 2: Convert to fraction form
   2,223.75/3,639.38 = 3,639.38/x
3. Step 3: Cross multiply
   2,223.75x = 3,639.38 × 3,639.38
4. Step 4: Simplify right side
   2,223.75x = 13,245,050.39
5. Step 5: Solve for x
   x = 13,245,050.39/2,223.75
6. Step 6: Final answer
   x = 5,956.18