Finding the Third Proportional to 5,719.78 and 8,212.22

Step by Step Solution

1. Step 1: Write the proportion equation
   5,719.78 : 8,212.22 = 8,212.22 : x
2. Step 2: Convert to fraction form
   5,719.78/8,212.22 = 8,212.22/x
3. Step 3: Cross multiply
   5,719.78x = 8,212.22 × 8,212.22
4. Step 4: Simplify right side
   5,719.78x = 67,440,536.80
5. Step 5: Solve for x
   x = 67,440,536.80/5,719.78
6. Step 6: Final answer
   x = 11,790.75