Finding the Third Proportional to 3,839.91 and 5,735.81

Step by Step Solution

1. Step 1: Write the proportion equation
   3,839.91 : 5,735.81 = 5,735.81 : x
2. Step 2: Convert to fraction form
   3,839.91/5,735.81 = 5,735.81/x
3. Step 3: Cross multiply
   3,839.91x = 5,735.81 × 5,735.81
4. Step 4: Simplify right side
   3,839.91x = 32,899,545.04
5. Step 5: Solve for x
   x = 32,899,545.04/3,839.91
6. Step 6: Final answer
   x = 8,567.80