Finding the Third Proportional to 2,552.63 and 5,604.75

Step by Step Solution

1. Step 1: Write the proportion equation
   2,552.63 : 5,604.75 = 5,604.75 : x
2. Step 2: Convert to fraction form
   2,552.63/5,604.75 = 5,604.75/x
3. Step 3: Cross multiply
   2,552.63x = 5,604.75 × 5,604.75
4. Step 4: Simplify right side
   2,552.63x = 31,413,222.56
5. Step 5: Solve for x
   x = 31,413,222.56/2,552.63
6. Step 6: Final answer
   x = 12,306.24