Finding the Third Proportional to 9,966 and 21,686

Step by Step Solution

1. Step 1: Write the proportion equation
   9,966 : 21,686 = 21,686 : x
2. Step 2: Convert to fraction form
   9,966/21,686 = 21,686/x
3. Step 3: Cross multiply
   9,966x = 21,686 × 21,686
4. Step 4: Simplify right side
   9,966x = 470,282,596
5. Step 5: Solve for x
   x = 470,282,596/9,966
6. Step 6: Final answer
   x = 47,188.70