Finding the Third Proportional to 9,684 and 17,976

Step by Step Solution

1. Step 1: Write the proportion equation
   9,684 : 17,976 = 17,976 : x
2. Step 2: Convert to fraction form
   9,684/17,976 = 17,976/x
3. Step 3: Cross multiply
   9,684x = 17,976 × 17,976
4. Step 4: Simplify right side
   9,684x = 323,136,576
5. Step 5: Solve for x
   x = 323,136,576/9,684
6. Step 6: Final answer
   x = 33,368.09