Finding the Third Proportional to 9,682 and 14,148

Step by Step Solution

1. Step 1: Write the proportion equation
   9,682 : 14,148 = 14,148 : x
2. Step 2: Convert to fraction form
   9,682/14,148 = 14,148/x
3. Step 3: Cross multiply
   9,682x = 14,148 × 14,148
4. Step 4: Simplify right side
   9,682x = 200,165,904
5. Step 5: Solve for x
   x = 200,165,904/9,682
6. Step 6: Final answer
   x = 20,674.02