Finding the Third Proportional to 9,702 and 14,162

Step by Step Solution

1. Step 1: Write the proportion equation
   9,702 : 14,162 = 14,162 : x
2. Step 2: Convert to fraction form
   9,702/14,162 = 14,162/x
3. Step 3: Cross multiply
   9,702x = 14,162 × 14,162
4. Step 4: Simplify right side
   9,702x = 200,562,244
5. Step 5: Solve for x
   x = 200,562,244/9,702
6. Step 6: Final answer
   x = 20,672.26