Finding the Third Proportional to 10,569 and 23,229

Step by Step Solution

1. Step 1: Write the proportion equation
   10,569 : 23,229 = 23,229 : x
2. Step 2: Convert to fraction form
   10,569/23,229 = 23,229/x
3. Step 3: Cross multiply
   10,569x = 23,229 × 23,229
4. Step 4: Simplify right side
   10,569x = 539,586,441
5. Step 5: Solve for x
   x = 539,586,441/10,569
6. Step 6: Final answer
   x = 51,053.69