Finding the Third Proportional to 6,405 and 13,876

Step by Step Solution

1. Step 1: Write the proportion equation
   6,405 : 13,876 = 13,876 : x
2. Step 2: Convert to fraction form
   6,405/13,876 = 13,876/x
3. Step 3: Cross multiply
   6,405x = 13,876 × 13,876
4. Step 4: Simplify right side
   6,405x = 192,543,376
5. Step 5: Solve for x
   x = 192,543,376/6,405
6. Step 6: Final answer
   x = 30,061.42