Finding the Third Proportional to 31,304 and 67,168

Step by Step Solution

1. Step 1: Write the proportion equation
   31,304 : 67,168 = 67,168 : x
2. Step 2: Convert to fraction form
   31,304/67,168 = 67,168/x
3. Step 3: Cross multiply
   31,304x = 67,168 × 67,168
4. Step 4: Simplify right side
   31,304x = 4,511,540,224
5. Step 5: Solve for x
   x = 4,511,540,224/31,304
6. Step 6: Final answer
   x = 144,120.25