Finding the Third Proportional to 33,778 and 74,042

Step by Step Solution

1. Step 1: Write the proportion equation
   33,778 : 74,042 = 74,042 : x
2. Step 2: Convert to fraction form
   33,778/74,042 = 74,042/x
3. Step 3: Cross multiply
   33,778x = 74,042 × 74,042
4. Step 4: Simplify right side
   33,778x = 5,482,217,764
5. Step 5: Solve for x
   x = 5,482,217,764/33,778
6. Step 6: Final answer
   x = 162,301.43