Finding the Third Proportional to 4,510.69 and 5,854.78

Step by Step Solution

1. Step 1: Write the proportion equation
   4,510.69 : 5,854.78 = 5,854.78 : x
2. Step 2: Convert to fraction form
   4,510.69/5,854.78 = 5,854.78/x
3. Step 3: Cross multiply
   4,510.69x = 5,854.78 × 5,854.78
4. Step 4: Simplify right side
   4,510.69x = 34,278,463.49
5. Step 5: Solve for x
   x = 34,278,463.49/4,510.69
6. Step 6: Final answer
   x = 7,599.39