Finding the Third Proportional to 3,839.91 and 5,966.16

Step by Step Solution

1. Step 1: Write the proportion equation
   3,839.91 : 5,966.16 = 5,966.16 : x
2. Step 2: Convert to fraction form
   3,839.91/5,966.16 = 5,966.16/x
3. Step 3: Cross multiply
   3,839.91x = 5,966.16 × 5,966.16
4. Step 4: Simplify right side
   3,839.91x = 35,595,020.40
5. Step 5: Solve for x
   x = 35,595,020.40/3,839.91
6. Step 6: Final answer
   x = 9,269.76