Finding the Third Proportional to 21,976 and 47,384

Step by Step Solution

1. Step 1: Write the proportion equation
   21,976 : 47,384 = 47,384 : x
2. Step 2: Convert to fraction form
   21,976/47,384 = 47,384/x
3. Step 3: Cross multiply
   21,976x = 47,384 × 47,384
4. Step 4: Simplify right side
   21,976x = 2,245,243,456
5. Step 5: Solve for x
   x = 2,245,243,456/21,976
6. Step 6: Final answer
   x = 102,167.98