Finding the Third Proportional to 31,876 and 67,400

Step by Step Solution

1. Step 1: Write the proportion equation
   31,876 : 67,400 = 67,400 : x
2. Step 2: Convert to fraction form
   31,876/67,400 = 67,400/x
3. Step 3: Cross multiply
   31,876x = 67,400 × 67,400
4. Step 4: Simplify right side
   31,876x = 4,542,760,000
5. Step 5: Solve for x
   x = 4,542,760,000/31,876
6. Step 6: Final answer
   x = 142,513.49