Finding the Third Proportional to 9,678 and 12,657

Step by Step Solution

1. Step 1: Write the proportion equation
   9,678 : 12,657 = 12,657 : x
2. Step 2: Convert to fraction form
   9,678/12,657 = 12,657/x
3. Step 3: Cross multiply
   9,678x = 12,657 × 12,657
4. Step 4: Simplify right side
   9,678x = 160,199,649
5. Step 5: Solve for x
   x = 160,199,649/9,678
6. Step 6: Final answer
   x = 16,552.97