Finding the Third Proportional to 6,389 and 12,077

Step by Step Solution

1. Step 1: Write the proportion equation
   6,389 : 12,077 = 12,077 : x
2. Step 2: Convert to fraction form
   6,389/12,077 = 12,077/x
3. Step 3: Cross multiply
   6,389x = 12,077 × 12,077
4. Step 4: Simplify right side
   6,389x = 145,853,929
5. Step 5: Solve for x
   x = 145,853,929/6,389
6. Step 6: Final answer
   x = 22,828.91