Finding the Third Proportional to 31,530 and 65,982

Step by Step Solution

1. Step 1: Write the proportion equation
   31,530 : 65,982 = 65,982 : x
2. Step 2: Convert to fraction form
   31,530/65,982 = 65,982/x
3. Step 3: Cross multiply
   31,530x = 65,982 × 65,982
4. Step 4: Simplify right side
   31,530x = 4,353,624,324
5. Step 5: Solve for x
   x = 4,353,624,324/31,530
6. Step 6: Final answer
   x = 138,078.79