Finding the Third Proportional to 31,740 and 67,974

Step by Step Solution

1. Step 1: Write the proportion equation
   31,740 : 67,974 = 67,974 : x
2. Step 2: Convert to fraction form
   31,740/67,974 = 67,974/x
3. Step 3: Cross multiply
   31,740x = 67,974 × 67,974
4. Step 4: Simplify right side
   31,740x = 4,620,464,676
5. Step 5: Solve for x
   x = 4,620,464,676/31,740
6. Step 6: Final answer
   x = 145,572.30