Finding the Third Proportional to 10,257 and 13,469

Step by Step Solution

1. Step 1: Write the proportion equation
   10,257 : 13,469 = 13,469 : x
2. Step 2: Convert to fraction form
   10,257/13,469 = 13,469/x
3. Step 3: Cross multiply
   10,257x = 13,469 × 13,469
4. Step 4: Simplify right side
   10,257x = 181,413,961
5. Step 5: Solve for x
   x = 181,413,961/10,257
6. Step 6: Final answer
   x = 17,686.84