Finding the Third Proportional to 33,708 and 73,386

Step by Step Solution

1. Step 1: Write the proportion equation
   33,708 : 73,386 = 73,386 : x
2. Step 2: Convert to fraction form
   33,708/73,386 = 73,386/x
3. Step 3: Cross multiply
   33,708x = 73,386 × 73,386
4. Step 4: Simplify right side
   33,708x = 5,385,504,996
5. Step 5: Solve for x
   x = 5,385,504,996/33,708
6. Step 6: Final answer
   x = 159,769.34