Finding the Third Proportional to 6,296 and 12,997

Step by Step Solution

1. Step 1: Write the proportion equation
   6,296 : 12,997 = 12,997 : x
2. Step 2: Convert to fraction form
   6,296/12,997 = 12,997/x
3. Step 3: Cross multiply
   6,296x = 12,997 × 12,997
4. Step 4: Simplify right side
   6,296x = 168,922,009
5. Step 5: Solve for x
   x = 168,922,009/6,296
6. Step 6: Final answer
   x = 26,830.05