Finding the Third Proportional to 31,626 and 67,942

Step by Step Solution

1. Step 1: Write the proportion equation
   31,626 : 67,942 = 67,942 : x
2. Step 2: Convert to fraction form
   31,626/67,942 = 67,942/x
3. Step 3: Cross multiply
   31,626x = 67,942 × 67,942
4. Step 4: Simplify right side
   31,626x = 4,616,115,364
5. Step 5: Solve for x
   x = 4,616,115,364/31,626
6. Step 6: Final answer
   x = 145,959.51