Finding the Third Proportional to 31,698 and 67,894

Step by Step Solution

1. Step 1: Write the proportion equation
   31,698 : 67,894 = 67,894 : x
2. Step 2: Convert to fraction form
   31,698/67,894 = 67,894/x
3. Step 3: Cross multiply
   31,698x = 67,894 × 67,894
4. Step 4: Simplify right side
   31,698x = 4,609,595,236
5. Step 5: Solve for x
   x = 4,609,595,236/31,698
6. Step 6: Final answer
   x = 145,422.27