Finding the Third Proportional to 3,727.27 and 8,101.27

Step by Step Solution

1. Step 1: Write the proportion equation
   3,727.27 : 8,101.27 = 8,101.27 : x
2. Step 2: Convert to fraction form
   3,727.27/8,101.27 = 8,101.27/x
3. Step 3: Cross multiply
   3,727.27x = 8,101.27 × 8,101.27
4. Step 4: Simplify right side
   3,727.27x = 65,630,504.73
5. Step 5: Solve for x
   x = 65,630,504.73/3,727.27
6. Step 6: Final answer
   x = 17,608.22