Finding the Third Proportional to 33,784 and 73,924

Step by Step Solution

1. Step 1: Write the proportion equation
   33,784 : 73,924 = 73,924 : x
2. Step 2: Convert to fraction form
   33,784/73,924 = 73,924/x
3. Step 3: Cross multiply
   33,784x = 73,924 × 73,924
4. Step 4: Simplify right side
   33,784x = 5,464,757,776
5. Step 5: Solve for x
   x = 5,464,757,776/33,784
6. Step 6: Final answer
   x = 161,755.79