Finding the Third Proportional to 1,183.22 and 1,837.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,183.22 : 1,837.27 = 1,837.27 : x
2. Step 2: Convert to fraction form
   1,183.22/1,837.27 = 1,837.27/x
3. Step 3: Cross multiply
   1,183.22x = 1,837.27 × 1,837.27
4. Step 4: Simplify right side
   1,183.22x = 3,375,544.98
5. Step 5: Solve for x
   x = 3,375,544.98/1,183.22
6. Step 6: Final answer
   x = 2,852.85