Finding the Third Proportional to 33,842 and 73,444

Step by Step Solution

1. Step 1: Write the proportion equation
   33,842 : 73,444 = 73,444 : x
2. Step 2: Convert to fraction form
   33,842/73,444 = 73,444/x
3. Step 3: Cross multiply
   33,842x = 73,444 × 73,444
4. Step 4: Simplify right side
   33,842x = 5,394,021,136
5. Step 5: Solve for x
   x = 5,394,021,136/33,842
6. Step 6: Final answer
   x = 159,388.37