Finding the Third Proportional to 5,151.41 and 7,765.56

Step by Step Solution

1. Step 1: Write the proportion equation
   5,151.41 : 7,765.56 = 7,765.56 : x
2. Step 2: Convert to fraction form
   5,151.41/7,765.56 = 7,765.56/x
3. Step 3: Cross multiply
   5,151.41x = 7,765.56 × 7,765.56
4. Step 4: Simplify right side
   5,151.41x = 60,303,900.27
5. Step 5: Solve for x
   x = 60,303,900.27/5,151.41
6. Step 6: Final answer
   x = 11,706.29