Finding the Third Proportional to 8,218.69 and 17,971.31

Step by Step Solution

1. Step 1: Write the proportion equation
   8,218.69 : 17,971.31 = 17,971.31 : x
2. Step 2: Convert to fraction form
   8,218.69/17,971.31 = 17,971.31/x
3. Step 3: Cross multiply
   8,218.69x = 17,971.31 × 17,971.31
4. Step 4: Simplify right side
   8,218.69x = 322,968,072.97
5. Step 5: Solve for x
   x = 322,968,072.97/8,218.69
6. Step 6: Final answer
   x = 39,296.79