Finding the Third Proportional to 1,785.09 and 3,844.27

Step by Step Solution

1. Step 1: Write the proportion equation
   1,785.09 : 3,844.27 = 3,844.27 : x
2. Step 2: Convert to fraction form
   1,785.09/3,844.27 = 3,844.27/x
3. Step 3: Cross multiply
   1,785.09x = 3,844.27 × 3,844.27
4. Step 4: Simplify right side
   1,785.09x = 14,778,378.20
5. Step 5: Solve for x
   x = 14,778,378.20/1,785.09
6. Step 6: Final answer
   x = 8,278.77