Finding the Third Proportional to 2,519.13 and 5,486.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,519.13 : 5,486.38 = 5,486.38 : x
2. Step 2: Convert to fraction form
   2,519.13/5,486.38 = 5,486.38/x
3. Step 3: Cross multiply
   2,519.13x = 5,486.38 × 5,486.38
4. Step 4: Simplify right side
   2,519.13x = 30,100,310.64
5. Step 5: Solve for x
   x = 30,100,310.64/2,519.13
6. Step 6: Final answer
   x = 11,948.72