Finding the Third Proportional to 5,097.94 and 7,718.06

Step by Step Solution

1. Step 1: Write the proportion equation
   5,097.94 : 7,718.06 = 7,718.06 : x
2. Step 2: Convert to fraction form
   5,097.94/7,718.06 = 7,718.06/x
3. Step 3: Cross multiply
   5,097.94x = 7,718.06 × 7,718.06
4. Step 4: Simplify right side
   5,097.94x = 59,568,488.75
5. Step 5: Solve for x
   x = 59,568,488.75/5,097.94
6. Step 6: Final answer
   x = 11,684.82