Finding the Third Proportional to 9,609.75 and 13,999.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,609.75 : 13,999.50 = 13,999.50 : x
2. Step 2: Convert to fraction form
   9,609.75/13,999.50 = 13,999.50/x
3. Step 3: Cross multiply
   9,609.75x = 13,999.50 × 13,999.50
4. Step 4: Simplify right side
   9,609.75x = 195,986,000.25
5. Step 5: Solve for x
   x = 195,986,000.25/9,609.75
6. Step 6: Final answer
   x = 20,394.50