Finding the Third Proportional to 2,353.69 and 5,078.63

Step by Step Solution

1. Step 1: Write the proportion equation
   2,353.69 : 5,078.63 = 5,078.63 : x
2. Step 2: Convert to fraction form
   2,353.69/5,078.63 = 5,078.63/x
3. Step 3: Cross multiply
   2,353.69x = 5,078.63 × 5,078.63
4. Step 4: Simplify right side
   2,353.69x = 25,792,431.89
5. Step 5: Solve for x
   x = 25,792,431.89/2,353.69
6. Step 6: Final answer
   x = 10,958.31