Finding the Third Proportional to 6,456 and 13,997

Step by Step Solution

1. Step 1: Write the proportion equation
   6,456 : 13,997 = 13,997 : x
2. Step 2: Convert to fraction form
   6,456/13,997 = 13,997/x
3. Step 3: Cross multiply
   6,456x = 13,997 × 13,997
4. Step 4: Simplify right side
   6,456x = 195,916,009
5. Step 5: Solve for x
   x = 195,916,009/6,456
6. Step 6: Final answer
   x = 30,346.35