Finding the Third Proportional to 31,794 and 67,698

Step by Step Solution

1. Step 1: Write the proportion equation
   31,794 : 67,698 = 67,698 : x
2. Step 2: Convert to fraction form
   31,794/67,698 = 67,698/x
3. Step 3: Cross multiply
   31,794x = 67,698 × 67,698
4. Step 4: Simplify right side
   31,794x = 4,583,019,204
5. Step 5: Solve for x
   x = 4,583,019,204/31,794
6. Step 6: Final answer
   x = 144,147.30