Finding the Third Proportional to 9,735 and 12,657

Step by Step Solution

1. Step 1: Write the proportion equation
   9,735 : 12,657 = 12,657 : x
2. Step 2: Convert to fraction form
   9,735/12,657 = 12,657/x
3. Step 3: Cross multiply
   9,735x = 12,657 × 12,657
4. Step 4: Simplify right side
   9,735x = 160,199,649
5. Step 5: Solve for x
   x = 160,199,649/9,735
6. Step 6: Final answer
   x = 16,456.05