Finding the Third Proportional to 5,097.94 and 7,454.53

Step by Step Solution

1. Step 1: Write the proportion equation
   5,097.94 : 7,454.53 = 7,454.53 : x
2. Step 2: Convert to fraction form
   5,097.94/7,454.53 = 7,454.53/x
3. Step 3: Cross multiply
   5,097.94x = 7,454.53 × 7,454.53
4. Step 4: Simplify right side
   5,097.94x = 55,570,036.16
5. Step 5: Solve for x
   x = 55,570,036.16/5,097.94
6. Step 6: Final answer
   x = 10,900.49