Finding the Third Proportional to 33,388 and 67,698

Step by Step Solution

1. Step 1: Write the proportion equation
   33,388 : 67,698 = 67,698 : x
2. Step 2: Convert to fraction form
   33,388/67,698 = 67,698/x
3. Step 3: Cross multiply
   33,388x = 67,698 × 67,698
4. Step 4: Simplify right side
   33,388x = 4,583,019,204
5. Step 5: Solve for x
   x = 4,583,019,204/33,388
6. Step 6: Final answer
   x = 137,265.46