Finding the Third Proportional to 13,674 and 21,422

Step by Step Solution

1. Step 1: Write the proportion equation
   13,674 : 21,422 = 21,422 : x
2. Step 2: Convert to fraction form
   13,674/21,422 = 21,422/x
3. Step 3: Cross multiply
   13,674x = 21,422 × 21,422
4. Step 4: Simplify right side
   13,674x = 458,902,084
5. Step 5: Solve for x
   x = 458,902,084/13,674
6. Step 6: Final answer
   x = 33,560.19