Finding the Third Proportional to 30,258 and 65,618

Step by Step Solution

1. Step 1: Write the proportion equation
   30,258 : 65,618 = 65,618 : x
2. Step 2: Convert to fraction form
   30,258/65,618 = 65,618/x
3. Step 3: Cross multiply
   30,258x = 65,618 × 65,618
4. Step 4: Simplify right side
   30,258x = 4,305,721,924
5. Step 5: Solve for x
   x = 4,305,721,924/30,258
6. Step 6: Final answer
   x = 142,300.28