Finding the Third Proportional to 20,976 and 31,180

Step by Step Solution

1. Step 1: Write the proportion equation
   20,976 : 31,180 = 31,180 : x
2. Step 2: Convert to fraction form
   20,976/31,180 = 31,180/x
3. Step 3: Cross multiply
   20,976x = 31,180 × 31,180
4. Step 4: Simplify right side
   20,976x = 972,192,400
5. Step 5: Solve for x
   x = 972,192,400/20,976
6. Step 6: Final answer
   x = 46,347.85