Finding the Third Proportional to 10,509 and 21,543

Step by Step Solution

1. Step 1: Write the proportion equation
   10,509 : 21,543 = 21,543 : x
2. Step 2: Convert to fraction form
   10,509/21,543 = 21,543/x
3. Step 3: Cross multiply
   10,509x = 21,543 × 21,543
4. Step 4: Simplify right side
   10,509x = 464,100,849
5. Step 5: Solve for x
   x = 464,100,849/10,509
6. Step 6: Final answer
   x = 44,162.23