Finding the Third Proportional to 10,144 and 13,906

Step by Step Solution

1. Step 1: Write the proportion equation
   10,144 : 13,906 = 13,906 : x
2. Step 2: Convert to fraction form
   10,144/13,906 = 13,906/x
3. Step 3: Cross multiply
   10,144x = 13,906 × 13,906
4. Step 4: Simplify right side
   10,144x = 193,376,836
5. Step 5: Solve for x
   x = 193,376,836/10,144
6. Step 6: Final answer
   x = 19,063.17