Finding the Third Proportional to 4,569.75 and 5,843.81

Step by Step Solution

1. Step 1: Write the proportion equation
   4,569.75 : 5,843.81 = 5,843.81 : x
2. Step 2: Convert to fraction form
   4,569.75/5,843.81 = 5,843.81/x
3. Step 3: Cross multiply
   4,569.75x = 5,843.81 × 5,843.81
4. Step 4: Simplify right side
   4,569.75x = 34,150,144.54
5. Step 5: Solve for x
   x = 34,150,144.54/4,569.75
6. Step 6: Final answer
   x = 7,473.09