Finding the Third Proportional to 6,381 and 13,946

Step by Step Solution

1. Step 1: Write the proportion equation
   6,381 : 13,946 = 13,946 : x
2. Step 2: Convert to fraction form
   6,381/13,946 = 13,946/x
3. Step 3: Cross multiply
   6,381x = 13,946 × 13,946
4. Step 4: Simplify right side
   6,381x = 194,490,916
5. Step 5: Solve for x
   x = 194,490,916/6,381
6. Step 6: Final answer
   x = 30,479.69