Finding the Third Proportional to 31,634 and 67,170

Step by Step Solution

1. Step 1: Write the proportion equation
   31,634 : 67,170 = 67,170 : x
2. Step 2: Convert to fraction form
   31,634/67,170 = 67,170/x
3. Step 3: Cross multiply
   31,634x = 67,170 × 67,170
4. Step 4: Simplify right side
   31,634x = 4,511,808,900
5. Step 5: Solve for x
   x = 4,511,808,900/31,634
6. Step 6: Final answer
   x = 142,625.31