Finding the Third Proportional to 1,163.81 and 3,007.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,163.81 : 3,007.69 = 3,007.69 : x
2. Step 2: Convert to fraction form
   1,163.81/3,007.69 = 3,007.69/x
3. Step 3: Cross multiply
   1,163.81x = 3,007.69 × 3,007.69
4. Step 4: Simplify right side
   1,163.81x = 9,046,184.10
5. Step 5: Solve for x
   x = 9,046,184.10/1,163.81
6. Step 6: Final answer
   x = 7,772.89