Finding the Third Proportional to 33,618 and 71,610

Step by Step Solution

1. Step 1: Write the proportion equation
   33,618 : 71,610 = 71,610 : x
2. Step 2: Convert to fraction form
   33,618/71,610 = 71,610/x
3. Step 3: Cross multiply
   33,618x = 71,610 × 71,610
4. Step 4: Simplify right side
   33,618x = 5,127,992,100
5. Step 5: Solve for x
   x = 5,127,992,100/33,618
6. Step 6: Final answer
   x = 152,537.10