Finding the Third Proportional to 9,660 and 13,456.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,660 : 13,456.50 = 13,456.50 : x
2. Step 2: Convert to fraction form
   9,660/13,456.50 = 13,456.50/x
3. Step 3: Cross multiply
   9,660x = 13,456.50 × 13,456.50
4. Step 4: Simplify right side
   9,660x = 181,077,392.25
5. Step 5: Solve for x
   x = 181,077,392.25/9,660
6. Step 6: Final answer
   x = 18,745.07