Finding the Third Proportional to 9,516 and 14,144

Step by Step Solution

1. Step 1: Write the proportion equation
   9,516 : 14,144 = 14,144 : x
2. Step 2: Convert to fraction form
   9,516/14,144 = 14,144/x
3. Step 3: Cross multiply
   9,516x = 14,144 × 14,144
4. Step 4: Simplify right side
   9,516x = 200,052,736
5. Step 5: Solve for x
   x = 200,052,736/9,516
6. Step 6: Final answer
   x = 21,022.78