Finding the Third Proportional to 2,033.58 and 4,456.27

Step by Step Solution

1. Step 1: Write the proportion equation
   2,033.58 : 4,456.27 = 4,456.27 : x
2. Step 2: Convert to fraction form
   2,033.58/4,456.27 = 4,456.27/x
3. Step 3: Cross multiply
   2,033.58x = 4,456.27 × 4,456.27
4. Step 4: Simplify right side
   2,033.58x = 19,858,303.32
5. Step 5: Solve for x
   x = 19,858,303.32/2,033.58
6. Step 6: Final answer
   x = 9,765.20