Finding the Third Proportional to 9,796 and 17,486

Step by Step Solution

1. Step 1: Write the proportion equation
   9,796 : 17,486 = 17,486 : x
2. Step 2: Convert to fraction form
   9,796/17,486 = 17,486/x
3. Step 3: Cross multiply
   9,796x = 17,486 × 17,486
4. Step 4: Simplify right side
   9,796x = 305,760,196
5. Step 5: Solve for x
   x = 305,760,196/9,796
6. Step 6: Final answer
   x = 31,212.76