Finding the Third Proportional to 9,760.50 and 17,239.50

Step by Step Solution

1. Step 1: Write the proportion equation
   9,760.50 : 17,239.50 = 17,239.50 : x
2. Step 2: Convert to fraction form
   9,760.50/17,239.50 = 17,239.50/x
3. Step 3: Cross multiply
   9,760.50x = 17,239.50 × 17,239.50
4. Step 4: Simplify right side
   9,760.50x = 297,200,360.25
5. Step 5: Solve for x
   x = 297,200,360.25/9,760.50
6. Step 6: Final answer
   x = 30,449.30