Finding the Third Proportional to 9,151.50 and 11,855.25

Step by Step Solution

1. Step 1: Write the proportion equation
   9,151.50 : 11,855.25 = 11,855.25 : x
2. Step 2: Convert to fraction form
   9,151.50/11,855.25 = 11,855.25/x
3. Step 3: Cross multiply
   9,151.50x = 11,855.25 × 11,855.25
4. Step 4: Simplify right side
   9,151.50x = 140,546,952.56
5. Step 5: Solve for x
   x = 140,546,952.56/9,151.50
6. Step 6: Final answer
   x = 15,357.81