Finding the Third Proportional to 6,338 and 12,916

Step by Step Solution

1. Step 1: Write the proportion equation
   6,338 : 12,916 = 12,916 : x
2. Step 2: Convert to fraction form
   6,338/12,916 = 12,916/x
3. Step 3: Cross multiply
   6,338x = 12,916 × 12,916
4. Step 4: Simplify right side
   6,338x = 166,823,056
5. Step 5: Solve for x
   x = 166,823,056/6,338
6. Step 6: Final answer
   x = 26,321.09