Finding the Third Proportional to 9,665 and 14,153

Step by Step Solution

1. Step 1: Write the proportion equation
   9,665 : 14,153 = 14,153 : x
2. Step 2: Convert to fraction form
   9,665/14,153 = 14,153/x
3. Step 3: Cross multiply
   9,665x = 14,153 × 14,153
4. Step 4: Simplify right side
   9,665x = 200,307,409
5. Step 5: Solve for x
   x = 200,307,409/9,665
6. Step 6: Final answer
   x = 20,725.03