Finding the Third Proportional to 31,018 and 39,830

Step by Step Solution

1. Step 1: Write the proportion equation
   31,018 : 39,830 = 39,830 : x
2. Step 2: Convert to fraction form
   31,018/39,830 = 39,830/x
3. Step 3: Cross multiply
   31,018x = 39,830 × 39,830
4. Step 4: Simplify right side
   31,018x = 1,586,428,900
5. Step 5: Solve for x
   x = 1,586,428,900/31,018
6. Step 6: Final answer
   x = 51,145.43