Finding the Third Proportional to 33,211 and 71,698

Step by Step Solution

1. Step 1: Write the proportion equation
   33,211 : 71,698 = 71,698 : x
2. Step 2: Convert to fraction form
   33,211/71,698 = 71,698/x
3. Step 3: Cross multiply
   33,211x = 71,698 × 71,698
4. Step 4: Simplify right side
   33,211x = 5,140,603,204
5. Step 5: Solve for x
   x = 5,140,603,204/33,211
6. Step 6: Final answer
   x = 154,786.16