Finding the Third Proportional to 33,923 and 68,766

Step by Step Solution

1. Step 1: Write the proportion equation
   33,923 : 68,766 = 68,766 : x
2. Step 2: Convert to fraction form
   33,923/68,766 = 68,766/x
3. Step 3: Cross multiply
   33,923x = 68,766 × 68,766
4. Step 4: Simplify right side
   33,923x = 4,728,762,756
5. Step 5: Solve for x
   x = 4,728,762,756/33,923
6. Step 6: Final answer
   x = 139,396.95