Finding the Third Proportional to 2,323.69 and 5,097.30

Step by Step Solution

1. Step 1: Write the proportion equation
   2,323.69 : 5,097.30 = 5,097.30 : x
2. Step 2: Convert to fraction form
   2,323.69/5,097.30 = 5,097.30/x
3. Step 3: Cross multiply
   2,323.69x = 5,097.30 × 5,097.30
4. Step 4: Simplify right side
   2,323.69x = 25,982,515.08
5. Step 5: Solve for x
   x = 25,982,515.08/2,323.69
6. Step 6: Final answer
   x = 11,181.59