Finding the Third Proportional to 5,097.94 and 11,287.69

Step by Step Solution

1. Step 1: Write the proportion equation
   5,097.94 : 11,287.69 = 11,287.69 : x
2. Step 2: Convert to fraction form
   5,097.94/11,287.69 = 11,287.69/x
3. Step 3: Cross multiply
   5,097.94x = 11,287.69 × 11,287.69
4. Step 4: Simplify right side
   5,097.94x = 127,411,889.10
5. Step 5: Solve for x
   x = 127,411,889.10/5,097.94
6. Step 6: Final answer
   x = 24,992.83