Finding the Third Proportional to 33,997 and 74,790

Step by Step Solution

1. Step 1: Write the proportion equation
   33,997 : 74,790 = 74,790 : x
2. Step 2: Convert to fraction form
   33,997/74,790 = 74,790/x
3. Step 3: Cross multiply
   33,997x = 74,790 × 74,790
4. Step 4: Simplify right side
   33,997x = 5,593,544,100
5. Step 5: Solve for x
   x = 5,593,544,100/33,997
6. Step 6: Final answer
   x = 164,530.52