Finding the Third Proportional to 33,743 and 72,670

Step by Step Solution

1. Step 1: Write the proportion equation
   33,743 : 72,670 = 72,670 : x
2. Step 2: Convert to fraction form
   33,743/72,670 = 72,670/x
3. Step 3: Cross multiply
   33,743x = 72,670 × 72,670
4. Step 4: Simplify right side
   33,743x = 5,280,928,900
5. Step 5: Solve for x
   x = 5,280,928,900/33,743
6. Step 6: Final answer
   x = 156,504.43