Finding the Third Proportional to 33,055 and 72,698

Step by Step Solution

1. Step 1: Write the proportion equation
   33,055 : 72,698 = 72,698 : x
2. Step 2: Convert to fraction form
   33,055/72,698 = 72,698/x
3. Step 3: Cross multiply
   33,055x = 72,698 × 72,698
4. Step 4: Simplify right side
   33,055x = 5,284,999,204
5. Step 5: Solve for x
   x = 5,284,999,204/33,055
6. Step 6: Final answer
   x = 159,885.02