Finding the Third Proportional to 4,141.50 and 5,982.75

Step by Step Solution

1. Step 1: Write the proportion equation
   4,141.50 : 5,982.75 = 5,982.75 : x
2. Step 2: Convert to fraction form
   4,141.50/5,982.75 = 5,982.75/x
3. Step 3: Cross multiply
   4,141.50x = 5,982.75 × 5,982.75
4. Step 4: Simplify right side
   4,141.50x = 35,793,297.56
5. Step 5: Solve for x
   x = 35,793,297.56/4,141.50
6. Step 6: Final answer
   x = 8,642.59