Finding the Third Proportional to 5,131.50 and 7,697.25

Step by Step Solution

1. Step 1: Write the proportion equation
   5,131.50 : 7,697.25 = 7,697.25 : x
2. Step 2: Convert to fraction form
   5,131.50/7,697.25 = 7,697.25/x
3. Step 3: Cross multiply
   5,131.50x = 7,697.25 × 7,697.25
4. Step 4: Simplify right side
   5,131.50x = 59,247,657.56
5. Step 5: Solve for x
   x = 59,247,657.56/5,131.50
6. Step 6: Final answer
   x = 11,545.88