Finding the Third Proportional to 9,684 and 14,146

Step by Step Solution

1. Step 1: Write the proportion equation
   9,684 : 14,146 = 14,146 : x
2. Step 2: Convert to fraction form
   9,684/14,146 = 14,146/x
3. Step 3: Cross multiply
   9,684x = 14,146 × 14,146
4. Step 4: Simplify right side
   9,684x = 200,109,316
5. Step 5: Solve for x
   x = 200,109,316/9,684
6. Step 6: Final answer
   x = 20,663.91