Finding the Third Proportional to 10,343 and 13,874

Step by Step Solution

1. Step 1: Write the proportion equation
   10,343 : 13,874 = 13,874 : x
2. Step 2: Convert to fraction form
   10,343/13,874 = 13,874/x
3. Step 3: Cross multiply
   10,343x = 13,874 × 13,874
4. Step 4: Simplify right side
   10,343x = 192,487,876
5. Step 5: Solve for x
   x = 192,487,876/10,343
6. Step 6: Final answer
   x = 18,610.45