Finding the Third Proportional to 31,204 and 67,970

Step by Step Solution

1. Step 1: Write the proportion equation
   31,204 : 67,970 = 67,970 : x
2. Step 2: Convert to fraction form
   31,204/67,970 = 67,970/x
3. Step 3: Cross multiply
   31,204x = 67,970 × 67,970
4. Step 4: Simplify right side
   31,204x = 4,619,920,900
5. Step 5: Solve for x
   x = 4,619,920,900/31,204
6. Step 6: Final answer
   x = 148,055.41