Finding the Third Proportional to 10,378 and 16,114

Step by Step Solution

1. Step 1: Write the proportion equation
   10,378 : 16,114 = 16,114 : x
2. Step 2: Convert to fraction form
   10,378/16,114 = 16,114/x
3. Step 3: Cross multiply
   10,378x = 16,114 × 16,114
4. Step 4: Simplify right side
   10,378x = 259,660,996
5. Step 5: Solve for x
   x = 259,660,996/10,378
6. Step 6: Final answer
   x = 25,020.33