Finding the Third Proportional to 5,143.50 and 7,578.56

Step by Step Solution

1. Step 1: Write the proportion equation
   5,143.50 : 7,578.56 = 7,578.56 : x
2. Step 2: Convert to fraction form
   5,143.50/7,578.56 = 7,578.56/x
3. Step 3: Cross multiply
   5,143.50x = 7,578.56 × 7,578.56
4. Step 4: Simplify right side
   5,143.50x = 57,434,609.57
5. Step 5: Solve for x
   x = 57,434,609.57/5,143.50
6. Step 6: Final answer
   x = 11,166.44