Finding the Third Proportional to 33,764 and 73,605

Step by Step Solution

1. Step 1: Write the proportion equation
   33,764 : 73,605 = 73,605 : x
2. Step 2: Convert to fraction form
   33,764/73,605 = 73,605/x
3. Step 3: Cross multiply
   33,764x = 73,605 × 73,605
4. Step 4: Simplify right side
   33,764x = 5,417,696,025
5. Step 5: Solve for x
   x = 5,417,696,025/33,764
6. Step 6: Final answer
   x = 160,457.77