Finding the Third Proportional to 8,109 and 17,814.38

Step by Step Solution

1. Step 1: Write the proportion equation
   8,109 : 17,814.38 = 17,814.38 : x
2. Step 2: Convert to fraction form
   8,109/17,814.38 = 17,814.38/x
3. Step 3: Cross multiply
   8,109x = 17,814.38 × 17,814.38
4. Step 4: Simplify right side
   8,109x = 317,351,956.64
5. Step 5: Solve for x
   x = 317,351,956.64/8,109
6. Step 6: Final answer
   x = 39,135.77