Finding the Third Proportional to 31,839 and 65,271

Step by Step Solution

1. Step 1: Write the proportion equation
   31,839 : 65,271 = 65,271 : x
2. Step 2: Convert to fraction form
   31,839/65,271 = 65,271/x
3. Step 3: Cross multiply
   31,839x = 65,271 × 65,271
4. Step 4: Simplify right side
   31,839x = 4,260,303,441
5. Step 5: Solve for x
   x = 4,260,303,441/31,839
6. Step 6: Final answer
   x = 133,807.70