Finding the Third Proportional to 13,825 and 21,442

Step by Step Solution

1. Step 1: Write the proportion equation
   13,825 : 21,442 = 21,442 : x
2. Step 2: Convert to fraction form
   13,825/21,442 = 21,442/x
3. Step 3: Cross multiply
   13,825x = 21,442 × 21,442
4. Step 4: Simplify right side
   13,825x = 459,759,364
5. Step 5: Solve for x
   x = 459,759,364/13,825
6. Step 6: Final answer
   x = 33,255.65