Finding the Third Proportional to 3,822.19 and 7,105.22

Step by Step Solution

1. Step 1: Write the proportion equation
   3,822.19 : 7,105.22 = 7,105.22 : x
2. Step 2: Convert to fraction form
   3,822.19/7,105.22 = 7,105.22/x
3. Step 3: Cross multiply
   3,822.19x = 7,105.22 × 7,105.22
4. Step 4: Simplify right side
   3,822.19x = 50,484,133.49
5. Step 5: Solve for x
   x = 50,484,133.49/3,822.19
6. Step 6: Final answer
   x = 13,208.18