Finding the Third Proportional to 10,349 and 13,687

Step by Step Solution

1. Step 1: Write the proportion equation
   10,349 : 13,687 = 13,687 : x
2. Step 2: Convert to fraction form
   10,349/13,687 = 13,687/x
3. Step 3: Cross multiply
   10,349x = 13,687 × 13,687
4. Step 4: Simplify right side
   10,349x = 187,333,969
5. Step 5: Solve for x
   x = 187,333,969/10,349
6. Step 6: Final answer
   x = 18,101.65