Finding the Third Proportional to 13,825 and 21,441

Step by Step Solution

1. Step 1: Write the proportion equation
   13,825 : 21,441 = 21,441 : x
2. Step 2: Convert to fraction form
   13,825/21,441 = 21,441/x
3. Step 3: Cross multiply
   13,825x = 21,441 × 21,441
4. Step 4: Simplify right side
   13,825x = 459,716,481
5. Step 5: Solve for x
   x = 459,716,481/13,825
6. Step 6: Final answer
   x = 33,252.55