Finding the Third Proportional to 19,978 and 31,324

Step by Step Solution

1. Step 1: Write the proportion equation
   19,978 : 31,324 = 31,324 : x
2. Step 2: Convert to fraction form
   19,978/31,324 = 31,324/x
3. Step 3: Cross multiply
   19,978x = 31,324 × 31,324
4. Step 4: Simplify right side
   19,978x = 981,192,976
5. Step 5: Solve for x
   x = 981,192,976/19,978
6. Step 6: Final answer
   x = 49,113.67