Finding the Third Proportional to 8,109 and 17,640

Step by Step Solution

1. Step 1: Write the proportion equation
   8,109 : 17,640 = 17,640 : x
2. Step 2: Convert to fraction form
   8,109/17,640 = 17,640/x
3. Step 3: Cross multiply
   8,109x = 17,640 × 17,640
4. Step 4: Simplify right side
   8,109x = 311,169,600
5. Step 5: Solve for x
   x = 311,169,600/8,109
6. Step 6: Final answer
   x = 38,373.36