Finding the Third Proportional to 33,962 and 73,144

Step by Step Solution

1. Step 1: Write the proportion equation
   33,962 : 73,144 = 73,144 : x
2. Step 2: Convert to fraction form
   33,962/73,144 = 73,144/x
3. Step 3: Cross multiply
   33,962x = 73,144 × 73,144
4. Step 4: Simplify right side
   33,962x = 5,350,044,736
5. Step 5: Solve for x
   x = 5,350,044,736/33,962
6. Step 6: Final answer
   x = 157,530.32