Finding the Third Proportional to 33,885 and 74,334

Step by Step Solution

1. Step 1: Write the proportion equation
   33,885 : 74,334 = 74,334 : x
2. Step 2: Convert to fraction form
   33,885/74,334 = 74,334/x
3. Step 3: Cross multiply
   33,885x = 74,334 × 74,334
4. Step 4: Simplify right side
   33,885x = 5,525,543,556
5. Step 5: Solve for x
   x = 5,525,543,556/33,885
6. Step 6: Final answer
   x = 163,067.54