Finding the Third Proportional to 6,380 and 13,856

Step by Step Solution

1. Step 1: Write the proportion equation
   6,380 : 13,856 = 13,856 : x
2. Step 2: Convert to fraction form
   6,380/13,856 = 13,856/x
3. Step 3: Cross multiply
   6,380x = 13,856 × 13,856
4. Step 4: Simplify right side
   6,380x = 191,988,736
5. Step 5: Solve for x
   x = 191,988,736/6,380
6. Step 6: Final answer
   x = 30,092.28