Finding the Third Proportional to 10,237 and 21,561

Step by Step Solution

1. Step 1: Write the proportion equation
   10,237 : 21,561 = 21,561 : x
2. Step 2: Convert to fraction form
   10,237/21,561 = 21,561/x
3. Step 3: Cross multiply
   10,237x = 21,561 × 21,561
4. Step 4: Simplify right side
   10,237x = 464,876,721
5. Step 5: Solve for x
   x = 464,876,721/10,237
6. Step 6: Final answer
   x = 45,411.42