Finding the Third Proportional to 9,735 and 14,667.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,735 : 14,667.50 = 14,667.50 : x
2. Step 2: Convert to fraction form
   9,735/14,667.50 = 14,667.50/x
3. Step 3: Cross multiply
   9,735x = 14,667.50 × 14,667.50
4. Step 4: Simplify right side
   9,735x = 215,135,556.25
5. Step 5: Solve for x
   x = 215,135,556.25/9,735
6. Step 6: Final answer
   x = 22,099.18