Finding the Third Proportional to 33,766 and 73,477

Step by Step Solution

1. Step 1: Write the proportion equation
   33,766 : 73,477 = 73,477 : x
2. Step 2: Convert to fraction form
   33,766/73,477 = 73,477/x
3. Step 3: Cross multiply
   33,766x = 73,477 × 73,477
4. Step 4: Simplify right side
   33,766x = 5,398,869,529
5. Step 5: Solve for x
   x = 5,398,869,529/33,766
6. Step 6: Final answer
   x = 159,890.70