Finding the Third Proportional to 9,796 and 17,647

Step by Step Solution

1. Step 1: Write the proportion equation
   9,796 : 17,647 = 17,647 : x
2. Step 2: Convert to fraction form
   9,796/17,647 = 17,647/x
3. Step 3: Cross multiply
   9,796x = 17,647 × 17,647
4. Step 4: Simplify right side
   9,796x = 311,416,609
5. Step 5: Solve for x
   x = 311,416,609/9,796
6. Step 6: Final answer
   x = 31,790.18