Finding the Third Proportional to 2,361.38 and 5,086.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,361.38 : 5,086.13 = 5,086.13 : x
2. Step 2: Convert to fraction form
   2,361.38/5,086.13 = 5,086.13/x
3. Step 3: Cross multiply
   2,361.38x = 5,086.13 × 5,086.13
4. Step 4: Simplify right side
   2,361.38x = 25,868,667.52
5. Step 5: Solve for x
   x = 25,868,667.52/2,361.38
6. Step 6: Final answer
   x = 10,954.92