Finding the Third Proportional to 1,785.25 and 3,844.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,785.25 : 3,844.56 = 3,844.56 : x
2. Step 2: Convert to fraction form
   1,785.25/3,844.56 = 3,844.56/x
3. Step 3: Cross multiply
   1,785.25x = 3,844.56 × 3,844.56
4. Step 4: Simplify right side
   1,785.25x = 14,780,660.82
5. Step 5: Solve for x
   x = 14,780,660.82/1,785.25
6. Step 6: Final answer
   x = 8,279.32