Finding the Third Proportional to 31,574 and 52,618

Step by Step Solution

1. Step 1: Write the proportion equation
   31,574 : 52,618 = 52,618 : x
2. Step 2: Convert to fraction form
   31,574/52,618 = 52,618/x
3. Step 3: Cross multiply
   31,574x = 52,618 × 52,618
4. Step 4: Simplify right side
   31,574x = 2,768,653,924
5. Step 5: Solve for x
   x = 2,768,653,924/31,574
6. Step 6: Final answer
   x = 87,687.78