Finding the Third Proportional to 1,163.25 and 1,794.75

Step by Step Solution

1. Step 1: Write the proportion equation
   1,163.25 : 1,794.75 = 1,794.75 : x
2. Step 2: Convert to fraction form
   1,163.25/1,794.75 = 1,794.75/x
3. Step 3: Cross multiply
   1,163.25x = 1,794.75 × 1,794.75
4. Step 4: Simplify right side
   1,163.25x = 3,221,127.56
5. Step 5: Solve for x
   x = 3,221,127.56/1,163.25
6. Step 6: Final answer
   x = 2,769.08