Finding the Third Proportional to 5,536.69 and 8,226.56

Step by Step Solution

1. Step 1: Write the proportion equation
   5,536.69 : 8,226.56 = 8,226.56 : x
2. Step 2: Convert to fraction form
   5,536.69/8,226.56 = 8,226.56/x
3. Step 3: Cross multiply
   5,536.69x = 8,226.56 × 8,226.56
4. Step 4: Simplify right side
   5,536.69x = 67,676,330.57
5. Step 5: Solve for x
   x = 67,676,330.57/5,536.69
6. Step 6: Final answer
   x = 12,223.25