Finding the Third Proportional to 10,821 and 23,628

Step by Step Solution

1. Step 1: Write the proportion equation
   10,821 : 23,628 = 23,628 : x
2. Step 2: Convert to fraction form
   10,821/23,628 = 23,628/x
3. Step 3: Cross multiply
   10,821x = 23,628 × 23,628
4. Step 4: Simplify right side
   10,821x = 558,282,384
5. Step 5: Solve for x
   x = 558,282,384/10,821
6. Step 6: Final answer
   x = 51,592.49