Finding the Third Proportional to 33,778 and 73,504

Step by Step Solution

1. Step 1: Write the proportion equation
   33,778 : 73,504 = 73,504 : x
2. Step 2: Convert to fraction form
   33,778/73,504 = 73,504/x
3. Step 3: Cross multiply
   33,778x = 73,504 × 73,504
4. Step 4: Simplify right side
   33,778x = 5,402,838,016
5. Step 5: Solve for x
   x = 5,402,838,016/33,778
6. Step 6: Final answer
   x = 159,951.39