Finding the Third Proportional to 10,540 and 21,384

Step by Step Solution

1. Step 1: Write the proportion equation
   10,540 : 21,384 = 21,384 : x
2. Step 2: Convert to fraction form
   10,540/21,384 = 21,384/x
3. Step 3: Cross multiply
   10,540x = 21,384 × 21,384
4. Step 4: Simplify right side
   10,540x = 457,275,456
5. Step 5: Solve for x
   x = 457,275,456/10,540
6. Step 6: Final answer
   x = 43,384.77