Finding the Third Proportional to 8,097 and 17,708

Step by Step Solution

1. Step 1: Write the proportion equation
   8,097 : 17,708 = 17,708 : x
2. Step 2: Convert to fraction form
   8,097/17,708 = 17,708/x
3. Step 3: Cross multiply
   8,097x = 17,708 × 17,708
4. Step 4: Simplify right side
   8,097x = 313,573,264
5. Step 5: Solve for x
   x = 313,573,264/8,097
6. Step 6: Final answer
   x = 38,727.09