Finding the Third Proportional to 33,744 and 72,669

Step by Step Solution

1. Step 1: Write the proportion equation
   33,744 : 72,669 = 72,669 : x
2. Step 2: Convert to fraction form
   33,744/72,669 = 72,669/x
3. Step 3: Cross multiply
   33,744x = 72,669 × 72,669
4. Step 4: Simplify right side
   33,744x = 5,280,783,561
5. Step 5: Solve for x
   x = 5,280,783,561/33,744
6. Step 6: Final answer
   x = 156,495.48