Finding the Third Proportional to 33,885 and 72,477

Step by Step Solution

1. Step 1: Write the proportion equation
   33,885 : 72,477 = 72,477 : x
2. Step 2: Convert to fraction form
   33,885/72,477 = 72,477/x
3. Step 3: Cross multiply
   33,885x = 72,477 × 72,477
4. Step 4: Simplify right side
   33,885x = 5,252,915,529
5. Step 5: Solve for x
   x = 5,252,915,529/33,885
6. Step 6: Final answer
   x = 155,021.85