Finding the Third Proportional to 2,158.75 and 4,471.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,158.75 : 4,471.06 = 4,471.06 : x
2. Step 2: Convert to fraction form
   2,158.75/4,471.06 = 4,471.06/x
3. Step 3: Cross multiply
   2,158.75x = 4,471.06 × 4,471.06
4. Step 4: Simplify right side
   2,158.75x = 19,990,399.88
5. Step 5: Solve for x
   x = 19,990,399.88/2,158.75
6. Step 6: Final answer
   x = 9,260.17