Finding the Third Proportional to 33,862 and 73,374

Step by Step Solution

1. Step 1: Write the proportion equation
   33,862 : 73,374 = 73,374 : x
2. Step 2: Convert to fraction form
   33,862/73,374 = 73,374/x
3. Step 3: Cross multiply
   33,862x = 73,374 × 73,374
4. Step 4: Simplify right side
   33,862x = 5,383,743,876
5. Step 5: Solve for x
   x = 5,383,743,876/33,862
6. Step 6: Final answer
   x = 158,990.72