Finding the Third Proportional to 25,753 and 59,618

Step by Step Solution

1. Step 1: Write the proportion equation
   25,753 : 59,618 = 59,618 : x
2. Step 2: Convert to fraction form
   25,753/59,618 = 59,618/x
3. Step 3: Cross multiply
   25,753x = 59,618 × 59,618
4. Step 4: Simplify right side
   25,753x = 3,554,305,924
5. Step 5: Solve for x
   x = 3,554,305,924/25,753
6. Step 6: Final answer
   x = 138,015.22