Finding the Third Proportional to 31,724 and 67,940

Step by Step Solution

1. Step 1: Write the proportion equation
   31,724 : 67,940 = 67,940 : x
2. Step 2: Convert to fraction form
   31,724/67,940 = 67,940/x
3. Step 3: Cross multiply
   31,724x = 67,940 × 67,940
4. Step 4: Simplify right side
   31,724x = 4,615,843,600
5. Step 5: Solve for x
   x = 4,615,843,600/31,724
6. Step 6: Final answer
   x = 145,500.05