Finding the Third Proportional to 31,106 and 67,396

Step by Step Solution

1. Step 1: Write the proportion equation
   31,106 : 67,396 = 67,396 : x
2. Step 2: Convert to fraction form
   31,106/67,396 = 67,396/x
3. Step 3: Cross multiply
   31,106x = 67,396 × 67,396
4. Step 4: Simplify right side
   31,106x = 4,542,220,816
5. Step 5: Solve for x
   x = 4,542,220,816/31,106
6. Step 6: Final answer
   x = 146,023.94