Finding the Third Proportional to 10,371 and 13,695

Step by Step Solution

1. Step 1: Write the proportion equation
   10,371 : 13,695 = 13,695 : x
2. Step 2: Convert to fraction form
   10,371/13,695 = 13,695/x
3. Step 3: Cross multiply
   10,371x = 13,695 × 13,695
4. Step 4: Simplify right side
   10,371x = 187,553,025
5. Step 5: Solve for x
   x = 187,553,025/10,371
6. Step 6: Final answer
   x = 18,084.37