Finding the Third Proportional to 5,754.38 and 8,456.06

Step by Step Solution

1. Step 1: Write the proportion equation
   5,754.38 : 8,456.06 = 8,456.06 : x
2. Step 2: Convert to fraction form
   5,754.38/8,456.06 = 8,456.06/x
3. Step 3: Cross multiply
   5,754.38x = 8,456.06 × 8,456.06
4. Step 4: Simplify right side
   5,754.38x = 71,504,993.00
5. Step 5: Solve for x
   x = 71,504,993.00/5,754.38
6. Step 6: Final answer
   x = 12,426.20