Finding the Third Proportional to 31,968 and 67,578

Step by Step Solution

1. Step 1: Write the proportion equation
   31,968 : 67,578 = 67,578 : x
2. Step 2: Convert to fraction form
   31,968/67,578 = 67,578/x
3. Step 3: Cross multiply
   31,968x = 67,578 × 67,578
4. Step 4: Simplify right side
   31,968x = 4,566,786,084
5. Step 5: Solve for x
   x = 4,566,786,084/31,968
6. Step 6: Final answer
   x = 142,854.92