Finding the Third Proportional to 6,380 and 13,826

Step by Step Solution

1. Step 1: Write the proportion equation
   6,380 : 13,826 = 13,826 : x
2. Step 2: Convert to fraction form
   6,380/13,826 = 13,826/x
3. Step 3: Cross multiply
   6,380x = 13,826 × 13,826
4. Step 4: Simplify right side
   6,380x = 191,158,276
5. Step 5: Solve for x
   x = 191,158,276/6,380
6. Step 6: Final answer
   x = 29,962.11