Finding the Third Proportional to 15,642 and 31,922

Step by Step Solution

1. Step 1: Write the proportion equation
   15,642 : 31,922 = 31,922 : x
2. Step 2: Convert to fraction form
   15,642/31,922 = 31,922/x
3. Step 3: Cross multiply
   15,642x = 31,922 × 31,922
4. Step 4: Simplify right side
   15,642x = 1,019,014,084
5. Step 5: Solve for x
   x = 1,019,014,084/15,642
6. Step 6: Final answer
   x = 65,146.02