Finding the Third Proportional to 1,163.81 and 1,804.22

Step by Step Solution

1. Step 1: Write the proportion equation
   1,163.81 : 1,804.22 = 1,804.22 : x
2. Step 2: Convert to fraction form
   1,163.81/1,804.22 = 1,804.22/x
3. Step 3: Cross multiply
   1,163.81x = 1,804.22 × 1,804.22
4. Step 4: Simplify right side
   1,163.81x = 3,255,205.30
5. Step 5: Solve for x
   x = 3,255,205.30/1,163.81
6. Step 6: Final answer
   x = 2,797.02