Finding the Third Proportional to 3,825.11 and 8,111.55

Step by Step Solution

1. Step 1: Write the proportion equation
   3,825.11 : 8,111.55 = 8,111.55 : x
2. Step 2: Convert to fraction form
   3,825.11/8,111.55 = 8,111.55/x
3. Step 3: Cross multiply
   3,825.11x = 8,111.55 × 8,111.55
4. Step 4: Simplify right side
   3,825.11x = 65,797,224.39
5. Step 5: Solve for x
   x = 65,797,224.39/3,825.11
6. Step 6: Final answer
   x = 17,201.37