Finding the Third Proportional to 35,618 and 76,004

Step by Step Solution

1. Step 1: Write the proportion equation
   35,618 : 76,004 = 76,004 : x
2. Step 2: Convert to fraction form
   35,618/76,004 = 76,004/x
3. Step 3: Cross multiply
   35,618x = 76,004 × 76,004
4. Step 4: Simplify right side
   35,618x = 5,776,608,016
5. Step 5: Solve for x
   x = 5,776,608,016/35,618
6. Step 6: Final answer
   x = 162,182.27