Finding the Third Proportional to 8,397 and 17,705

Step by Step Solution

1. Step 1: Write the proportion equation
   8,397 : 17,705 = 17,705 : x
2. Step 2: Convert to fraction form
   8,397/17,705 = 17,705/x
3. Step 3: Cross multiply
   8,397x = 17,705 × 17,705
4. Step 4: Simplify right side
   8,397x = 313,467,025
5. Step 5: Solve for x
   x = 313,467,025/8,397
6. Step 6: Final answer
   x = 37,330.84