Finding the Third Proportional to 5,097.94 and 7,717.78

Step by Step Solution

1. Step 1: Write the proportion equation
   5,097.94 : 7,717.78 = 7,717.78 : x
2. Step 2: Convert to fraction form
   5,097.94/7,717.78 = 7,717.78/x
3. Step 3: Cross multiply
   5,097.94x = 7,717.78 × 7,717.78
4. Step 4: Simplify right side
   5,097.94x = 59,564,147.42
5. Step 5: Solve for x
   x = 59,564,147.42/5,097.94
6. Step 6: Final answer
   x = 11,683.97