Finding the Third Proportional to 9,530 and 12,649

Step by Step Solution

1. Step 1: Write the proportion equation
   9,530 : 12,649 = 12,649 : x
2. Step 2: Convert to fraction form
   9,530/12,649 = 12,649/x
3. Step 3: Cross multiply
   9,530x = 12,649 × 12,649
4. Step 4: Simplify right side
   9,530x = 159,997,201
5. Step 5: Solve for x
   x = 159,997,201/9,530
6. Step 6: Final answer
   x = 16,788.79