Finding the Third Proportional to 2,604.14 and 5,624.74

Step by Step Solution

1. Step 1: Write the proportion equation
   2,604.14 : 5,624.74 = 5,624.74 : x
2. Step 2: Convert to fraction form
   2,604.14/5,624.74 = 5,624.74/x
3. Step 3: Cross multiply
   2,604.14x = 5,624.74 × 5,624.74
4. Step 4: Simplify right side
   2,604.14x = 31,637,745.27
5. Step 5: Solve for x
   x = 31,637,745.27/2,604.14
6. Step 6: Final answer
   x = 12,149.03