Finding the Third Proportional to 31,842 and 65,277

Step by Step Solution

1. Step 1: Write the proportion equation
   31,842 : 65,277 = 65,277 : x
2. Step 2: Convert to fraction form
   31,842/65,277 = 65,277/x
3. Step 3: Cross multiply
   31,842x = 65,277 × 65,277
4. Step 4: Simplify right side
   31,842x = 4,261,086,729
5. Step 5: Solve for x
   x = 4,261,086,729/31,842
6. Step 6: Final answer
   x = 133,819.70