Finding the Third Proportional to 9,648 and 13,770

Step by Step Solution

1. Step 1: Write the proportion equation
   9,648 : 13,770 = 13,770 : x
2. Step 2: Convert to fraction form
   9,648/13,770 = 13,770/x
3. Step 3: Cross multiply
   9,648x = 13,770 × 13,770
4. Step 4: Simplify right side
   9,648x = 189,612,900
5. Step 5: Solve for x
   x = 189,612,900/9,648
6. Step 6: Final answer
   x = 19,653.08