Finding the Third Proportional to 31,702 and 67,274

Step by Step Solution

1. Step 1: Write the proportion equation
   31,702 : 67,274 = 67,274 : x
2. Step 2: Convert to fraction form
   31,702/67,274 = 67,274/x
3. Step 3: Cross multiply
   31,702x = 67,274 × 67,274
4. Step 4: Simplify right side
   31,702x = 4,525,791,076
5. Step 5: Solve for x
   x = 4,525,791,076/31,702
6. Step 6: Final answer
   x = 142,760.43