Finding the Third Proportional to 9,259.50 and 14,339.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,259.50 : 14,339.25 = 14,339.25 : x
2. Step 2: Convert to fraction form
   9,259.50/14,339.25 = 14,339.25/x
3. Step 3: Cross multiply
   9,259.50x = 14,339.25 × 14,339.25
4. Step 4: Simplify right side
   9,259.50x = 205,614,090.56
5. Step 5: Solve for x
   x = 205,614,090.56/9,259.50
6. Step 6: Final answer
   x = 22,205.74