Finding the Third Proportional to 9,689 and 21,166

Step by Step Solution

1. Step 1: Write the proportion equation
   9,689 : 21,166 = 21,166 : x
2. Step 2: Convert to fraction form
   9,689/21,166 = 21,166/x
3. Step 3: Cross multiply
   9,689x = 21,166 × 21,166
4. Step 4: Simplify right side
   9,689x = 447,999,556
5. Step 5: Solve for x
   x = 447,999,556/9,689
6. Step 6: Final answer
   x = 46,237.96