Finding the Third Proportional to 31,618 and 67,748

Step by Step Solution

1. Step 1: Write the proportion equation
   31,618 : 67,748 = 67,748 : x
2. Step 2: Convert to fraction form
   31,618/67,748 = 67,748/x
3. Step 3: Cross multiply
   31,618x = 67,748 × 67,748
4. Step 4: Simplify right side
   31,618x = 4,589,791,504
5. Step 5: Solve for x
   x = 4,589,791,504/31,618
6. Step 6: Final answer
   x = 145,163.88