Finding the Third Proportional to 15,744 and 31,942

Step by Step Solution

1. Step 1: Write the proportion equation
   15,744 : 31,942 = 31,942 : x
2. Step 2: Convert to fraction form
   15,744/31,942 = 31,942/x
3. Step 3: Cross multiply
   15,744x = 31,942 × 31,942
4. Step 4: Simplify right side
   15,744x = 1,020,291,364
5. Step 5: Solve for x
   x = 1,020,291,364/15,744
6. Step 6: Final answer
   x = 64,805.09