Finding the Third Proportional to 6,436 and 14,078

Step by Step Solution

1. Step 1: Write the proportion equation
   6,436 : 14,078 = 14,078 : x
2. Step 2: Convert to fraction form
   6,436/14,078 = 14,078/x
3. Step 3: Cross multiply
   6,436x = 14,078 × 14,078
4. Step 4: Simplify right side
   6,436x = 198,190,084
5. Step 5: Solve for x
   x = 198,190,084/6,436
6. Step 6: Final answer
   x = 30,793.98