Finding the Third Proportional to 3,791.18 and 8,226.56

Step by Step Solution

1. Step 1: Write the proportion equation
   3,791.18 : 8,226.56 = 8,226.56 : x
2. Step 2: Convert to fraction form
   3,791.18/8,226.56 = 8,226.56/x
3. Step 3: Cross multiply
   3,791.18x = 8,226.56 × 8,226.56
4. Step 4: Simplify right side
   3,791.18x = 67,676,330.57
5. Step 5: Solve for x
   x = 67,676,330.57/3,791.18
6. Step 6: Final answer
   x = 17,851.00