Finding the Third Proportional to 9,796 and 17,234

Step by Step Solution

1. Step 1: Write the proportion equation
   9,796 : 17,234 = 17,234 : x
2. Step 2: Convert to fraction form
   9,796/17,234 = 17,234/x
3. Step 3: Cross multiply
   9,796x = 17,234 × 17,234
4. Step 4: Simplify right side
   9,796x = 297,010,756
5. Step 5: Solve for x
   x = 297,010,756/9,796
6. Step 6: Final answer
   x = 30,319.60