Finding the Third Proportional to 9,766 and 20,696

Step by Step Solution

1. Step 1: Write the proportion equation
   9,766 : 20,696 = 20,696 : x
2. Step 2: Convert to fraction form
   9,766/20,696 = 20,696/x
3. Step 3: Cross multiply
   9,766x = 20,696 × 20,696
4. Step 4: Simplify right side
   9,766x = 428,324,416
5. Step 5: Solve for x
   x = 428,324,416/9,766
6. Step 6: Final answer
   x = 43,858.74