Finding the Third Proportional to 5,208.05 and 7,419.09

Step by Step Solution

1. Step 1: Write the proportion equation
   5,208.05 : 7,419.09 = 7,419.09 : x
2. Step 2: Convert to fraction form
   5,208.05/7,419.09 = 7,419.09/x
3. Step 3: Cross multiply
   5,208.05x = 7,419.09 × 7,419.09
4. Step 4: Simplify right side
   5,208.05x = 55,042,952.07
5. Step 5: Solve for x
   x = 55,042,952.07/5,208.05
6. Step 6: Final answer
   x = 10,568.83