Finding the Third Proportional to 2,369.25 and 5,194.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,369.25 : 5,194.13 = 5,194.13 : x
2. Step 2: Convert to fraction form
   2,369.25/5,194.13 = 5,194.13/x
3. Step 3: Cross multiply
   2,369.25x = 5,194.13 × 5,194.13
4. Step 4: Simplify right side
   2,369.25x = 26,978,934.52
5. Step 5: Solve for x
   x = 26,978,934.52/2,369.25
6. Step 6: Final answer
   x = 11,387.12