Finding the Third Proportional to 31,016 and 67,178

Step by Step Solution

1. Step 1: Write the proportion equation
   31,016 : 67,178 = 67,178 : x
2. Step 2: Convert to fraction form
   31,016/67,178 = 67,178/x
3. Step 3: Cross multiply
   31,016x = 67,178 × 67,178
4. Step 4: Simplify right side
   31,016x = 4,512,883,684
5. Step 5: Solve for x
   x = 4,512,883,684/31,016
6. Step 6: Final answer
   x = 145,501.80