Finding the Third Proportional to 31,378 and 67,306

Step by Step Solution

1. Step 1: Write the proportion equation
   31,378 : 67,306 = 67,306 : x
2. Step 2: Convert to fraction form
   31,378/67,306 = 67,306/x
3. Step 3: Cross multiply
   31,378x = 67,306 × 67,306
4. Step 4: Simplify right side
   31,378x = 4,530,097,636
5. Step 5: Solve for x
   x = 4,530,097,636/31,378
6. Step 6: Final answer
   x = 144,371.78