Finding the Third Proportional to 2,150.44 and 4,559.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,150.44 : 4,559.06 = 4,559.06 : x
2. Step 2: Convert to fraction form
   2,150.44/4,559.06 = 4,559.06/x
3. Step 3: Cross multiply
   2,150.44x = 4,559.06 × 4,559.06
4. Step 4: Simplify right side
   2,150.44x = 20,785,050.88
5. Step 5: Solve for x
   x = 20,785,050.88/2,150.44
6. Step 6: Final answer
   x = 9,665.50