Finding the Third Proportional to 9,768 and 13,261.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,768 : 13,261.50 = 13,261.50 : x
2. Step 2: Convert to fraction form
   9,768/13,261.50 = 13,261.50/x
3. Step 3: Cross multiply
   9,768x = 13,261.50 × 13,261.50
4. Step 4: Simplify right side
   9,768x = 175,867,382.25
5. Step 5: Solve for x
   x = 175,867,382.25/9,768
6. Step 6: Final answer
   x = 18,004.44