Finding the Third Proportional to 2,604.38 and 5,624.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,604.38 : 5,624.38 = 5,624.38 : x
2. Step 2: Convert to fraction form
   2,604.38/5,624.38 = 5,624.38/x
3. Step 3: Cross multiply
   2,604.38x = 5,624.38 × 5,624.38
4. Step 4: Simplify right side
   2,604.38x = 31,633,594.14
5. Step 5: Solve for x
   x = 31,633,594.14/2,604.38
6. Step 6: Final answer
   x = 12,146.33