Finding the Third Proportional to 10,506 and 21,441

Step by Step Solution

1. Step 1: Write the proportion equation
   10,506 : 21,441 = 21,441 : x
2. Step 2: Convert to fraction form
   10,506/21,441 = 21,441/x
3. Step 3: Cross multiply
   10,506x = 21,441 × 21,441
4. Step 4: Simplify right side
   10,506x = 459,716,481
5. Step 5: Solve for x
   x = 459,716,481/10,506
6. Step 6: Final answer
   x = 43,757.52