Finding the Third Proportional to 31,454 and 67,724

Step by Step Solution

1. Step 1: Write the proportion equation
   31,454 : 67,724 = 67,724 : x
2. Step 2: Convert to fraction form
   31,454/67,724 = 67,724/x
3. Step 3: Cross multiply
   31,454x = 67,724 × 67,724
4. Step 4: Simplify right side
   31,454x = 4,586,540,176
5. Step 5: Solve for x
   x = 4,586,540,176/31,454
6. Step 6: Final answer
   x = 145,817.39