Finding the Third Proportional to 10,996 and 16,766

Step by Step Solution

1. Step 1: Write the proportion equation
   10,996 : 16,766 = 16,766 : x
2. Step 2: Convert to fraction form
   10,996/16,766 = 16,766/x
3. Step 3: Cross multiply
   10,996x = 16,766 × 16,766
4. Step 4: Simplify right side
   10,996x = 281,098,756
5. Step 5: Solve for x
   x = 281,098,756/10,996
6. Step 6: Final answer
   x = 25,563.73