Finding the Third Proportional to 20,018 and 31,402

Step by Step Solution

1. Step 1: Write the proportion equation
   20,018 : 31,402 = 31,402 : x
2. Step 2: Convert to fraction form
   20,018/31,402 = 31,402/x
3. Step 3: Cross multiply
   20,018x = 31,402 × 31,402
4. Step 4: Simplify right side
   20,018x = 986,085,604
5. Step 5: Solve for x
   x = 986,085,604/20,018
6. Step 6: Final answer
   x = 49,259.95