Finding the Third Proportional to 5,471.72 and 8,344.27

Step by Step Solution

1. Step 1: Write the proportion equation
   5,471.72 : 8,344.27 = 8,344.27 : x
2. Step 2: Convert to fraction form
   5,471.72/8,344.27 = 8,344.27/x
3. Step 3: Cross multiply
   5,471.72x = 8,344.27 × 8,344.27
4. Step 4: Simplify right side
   5,471.72x = 69,626,768.82
5. Step 5: Solve for x
   x = 69,626,768.82/5,471.72
6. Step 6: Final answer
   x = 12,724.84