Finding the Third Proportional to 10,608 and 14,078

Step by Step Solution

1. Step 1: Write the proportion equation
   10,608 : 14,078 = 14,078 : x
2. Step 2: Convert to fraction form
   10,608/14,078 = 14,078/x
3. Step 3: Cross multiply
   10,608x = 14,078 × 14,078
4. Step 4: Simplify right side
   10,608x = 198,190,084
5. Step 5: Solve for x
   x = 198,190,084/10,608
6. Step 6: Final answer
   x = 18,683.08