Finding the Third Proportional to 9,643.50 and 14,667.75

Step by Step Solution

1. Step 1: Write the proportion equation
   9,643.50 : 14,667.75 = 14,667.75 : x
2. Step 2: Convert to fraction form
   9,643.50/14,667.75 = 14,667.75/x
3. Step 3: Cross multiply
   9,643.50x = 14,667.75 × 14,667.75
4. Step 4: Simplify right side
   9,643.50x = 215,142,890.06
5. Step 5: Solve for x
   x = 215,142,890.06/9,643.50
6. Step 6: Final answer
   x = 22,309.63