Finding the Third Proportional to 9,796 and 17,768

Step by Step Solution

1. Step 1: Write the proportion equation
   9,796 : 17,768 = 17,768 : x
2. Step 2: Convert to fraction form
   9,796/17,768 = 17,768/x
3. Step 3: Cross multiply
   9,796x = 17,768 × 17,768
4. Step 4: Simplify right side
   9,796x = 315,701,824
5. Step 5: Solve for x
   x = 315,701,824/9,796
6. Step 6: Final answer
   x = 32,227.63