Finding the Third Proportional to 10,434 and 21,557

Step by Step Solution

1. Step 1: Write the proportion equation
   10,434 : 21,557 = 21,557 : x
2. Step 2: Convert to fraction form
   10,434/21,557 = 21,557/x
3. Step 3: Cross multiply
   10,434x = 21,557 × 21,557
4. Step 4: Simplify right side
   10,434x = 464,704,249
5. Step 5: Solve for x
   x = 464,704,249/10,434
6. Step 6: Final answer
   x = 44,537.50