Finding the Third Proportional to 33,204 and 71,942

Step by Step Solution

1. Step 1: Write the proportion equation
   33,204 : 71,942 = 71,942 : x
2. Step 2: Convert to fraction form
   33,204/71,942 = 71,942/x
3. Step 3: Cross multiply
   33,204x = 71,942 × 71,942
4. Step 4: Simplify right side
   33,204x = 5,175,651,364
5. Step 5: Solve for x
   x = 5,175,651,364/33,204
6. Step 6: Final answer
   x = 155,874.33