Finding the Third Proportional to 31,162 and 67,609

Step by Step Solution

1. Step 1: Write the proportion equation
   31,162 : 67,609 = 67,609 : x
2. Step 2: Convert to fraction form
   31,162/67,609 = 67,609/x
3. Step 3: Cross multiply
   31,162x = 67,609 × 67,609
4. Step 4: Simplify right side
   31,162x = 4,570,976,881
5. Step 5: Solve for x
   x = 4,570,976,881/31,162
6. Step 6: Final answer
   x = 146,684.32