Finding the Third Proportional to 31,635 and 67,173

Step by Step Solution

1. Step 1: Write the proportion equation
   31,635 : 67,173 = 67,173 : x
2. Step 2: Convert to fraction form
   31,635/67,173 = 67,173/x
3. Step 3: Cross multiply
   31,635x = 67,173 × 67,173
4. Step 4: Simplify right side
   31,635x = 4,512,211,929
5. Step 5: Solve for x
   x = 4,512,211,929/31,635
6. Step 6: Final answer
   x = 142,633.54