Finding the Third Proportional to 2,042 and 5,469

Step by Step Solution

1. Step 1: Write the proportion equation
   2,042 : 5,469 = 5,469 : x
2. Step 2: Convert to fraction form
   2,042/5,469 = 5,469/x
3. Step 3: Cross multiply
   2,042x = 5,469 × 5,469
4. Step 4: Simplify right side
   2,042x = 29,909,961
5. Step 5: Solve for x
   x = 29,909,961/2,042
6. Step 6: Final answer
   x = 14,647.39