Finding the Third Proportional to 6,404 and 12,994

Step by Step Solution

1. Step 1: Write the proportion equation
   6,404 : 12,994 = 12,994 : x
2. Step 2: Convert to fraction form
   6,404/12,994 = 12,994/x
3. Step 3: Cross multiply
   6,404x = 12,994 × 12,994
4. Step 4: Simplify right side
   6,404x = 168,844,036
5. Step 5: Solve for x
   x = 168,844,036/6,404
6. Step 6: Final answer
   x = 26,365.40