Finding the Third Proportional to 3,642.05 and 5,535.42

Step by Step Solution

1. Step 1: Write the proportion equation
   3,642.05 : 5,535.42 = 5,535.42 : x
2. Step 2: Convert to fraction form
   3,642.05/5,535.42 = 5,535.42/x
3. Step 3: Cross multiply
   3,642.05x = 5,535.42 × 5,535.42
4. Step 4: Simplify right side
   3,642.05x = 30,640,895.33
5. Step 5: Solve for x
   x = 30,640,895.33/3,642.05
6. Step 6: Final answer
   x = 8,413.10