Finding the Third Proportional to 25,886 and 56,618

Step by Step Solution

1. Step 1: Write the proportion equation
   25,886 : 56,618 = 56,618 : x
2. Step 2: Convert to fraction form
   25,886/56,618 = 56,618/x
3. Step 3: Cross multiply
   25,886x = 56,618 × 56,618
4. Step 4: Simplify right side
   25,886x = 3,205,597,924
5. Step 5: Solve for x
   x = 3,205,597,924/25,886
6. Step 6: Final answer
   x = 123,835.20