Finding the Third Proportional to 8,096.25 and 17,694

Step by Step Solution

1. Step 1: Write the proportion equation
   8,096.25 : 17,694 = 17,694 : x
2. Step 2: Convert to fraction form
   8,096.25/17,694 = 17,694/x
3. Step 3: Cross multiply
   8,096.25x = 17,694 × 17,694
4. Step 4: Simplify right side
   8,096.25x = 313,077,636
5. Step 5: Solve for x
   x = 313,077,636/8,096.25
6. Step 6: Final answer
   x = 38,669.46