Finding the Third Proportional to 33,728 and 73,784

Step by Step Solution

1. Step 1: Write the proportion equation
   33,728 : 73,784 = 73,784 : x
2. Step 2: Convert to fraction form
   33,728/73,784 = 73,784/x
3. Step 3: Cross multiply
   33,728x = 73,784 × 73,784
4. Step 4: Simplify right side
   33,728x = 5,444,078,656
5. Step 5: Solve for x
   x = 5,444,078,656/33,728
6. Step 6: Final answer
   x = 161,411.25