Finding the Third Proportional to 10,500 and 21,324

Step by Step Solution

1. Step 1: Write the proportion equation
   10,500 : 21,324 = 21,324 : x
2. Step 2: Convert to fraction form
   10,500/21,324 = 21,324/x
3. Step 3: Cross multiply
   10,500x = 21,324 × 21,324
4. Step 4: Simplify right side
   10,500x = 454,712,976
5. Step 5: Solve for x
   x = 454,712,976/10,500
6. Step 6: Final answer
   x = 43,306.00