Finding the Third Proportional to 31,986 and 67,404

Step by Step Solution

1. Step 1: Write the proportion equation
   31,986 : 67,404 = 67,404 : x
2. Step 2: Convert to fraction form
   31,986/67,404 = 67,404/x
3. Step 3: Cross multiply
   31,986x = 67,404 × 67,404
4. Step 4: Simplify right side
   31,986x = 4,543,299,216
5. Step 5: Solve for x
   x = 4,543,299,216/31,986
6. Step 6: Final answer
   x = 142,040.24