Finding the Third Proportional to 6,404 and 13,878

Step by Step Solution

1. Step 1: Write the proportion equation
   6,404 : 13,878 = 13,878 : x
2. Step 2: Convert to fraction form
   6,404/13,878 = 13,878/x
3. Step 3: Cross multiply
   6,404x = 13,878 × 13,878
4. Step 4: Simplify right side
   6,404x = 192,598,884
5. Step 5: Solve for x
   x = 192,598,884/6,404
6. Step 6: Final answer
   x = 30,074.78