Finding the Third Proportional to 10,561 and 23,218

Step by Step Solution

1. Step 1: Write the proportion equation
   10,561 : 23,218 = 23,218 : x
2. Step 2: Convert to fraction form
   10,561/23,218 = 23,218/x
3. Step 3: Cross multiply
   10,561x = 23,218 × 23,218
4. Step 4: Simplify right side
   10,561x = 539,075,524
5. Step 5: Solve for x
   x = 539,075,524/10,561
6. Step 6: Final answer
   x = 51,043.98