Finding the Third Proportional to 21,888 and 51,384

Step by Step Solution

1. Step 1: Write the proportion equation
   21,888 : 51,384 = 51,384 : x
2. Step 2: Convert to fraction form
   21,888/51,384 = 51,384/x
3. Step 3: Cross multiply
   21,888x = 51,384 × 51,384
4. Step 4: Simplify right side
   21,888x = 2,640,315,456
5. Step 5: Solve for x
   x = 2,640,315,456/21,888
6. Step 6: Final answer
   x = 120,628.45