Finding the Third Proportional to 19,544 and 31,096

Step by Step Solution

1. Step 1: Write the proportion equation
   19,544 : 31,096 = 31,096 : x
2. Step 2: Convert to fraction form
   19,544/31,096 = 31,096/x
3. Step 3: Cross multiply
   19,544x = 31,096 × 31,096
4. Step 4: Simplify right side
   19,544x = 966,961,216
5. Step 5: Solve for x
   x = 966,961,216/19,544
6. Step 6: Final answer
   x = 49,476.12