Finding the Third Proportional to 6,441 and 12,603

Step by Step Solution

1. Step 1: Write the proportion equation
   6,441 : 12,603 = 12,603 : x
2. Step 2: Convert to fraction form
   6,441/12,603 = 12,603/x
3. Step 3: Cross multiply
   6,441x = 12,603 × 12,603
4. Step 4: Simplify right side
   6,441x = 158,835,609
5. Step 5: Solve for x
   x = 158,835,609/6,441
6. Step 6: Final answer
   x = 24,660.09