Finding the Third Proportional to 10,978 and 14,268

Step by Step Solution

1. Step 1: Write the proportion equation
   10,978 : 14,268 = 14,268 : x
2. Step 2: Convert to fraction form
   10,978/14,268 = 14,268/x
3. Step 3: Cross multiply
   10,978x = 14,268 × 14,268
4. Step 4: Simplify right side
   10,978x = 203,575,824
5. Step 5: Solve for x
   x = 203,575,824/10,978
6. Step 6: Final answer
   x = 18,543.98