Finding the Third Proportional to 2,371.57 and 5,196.87

Step by Step Solution

1. Step 1: Write the proportion equation
   2,371.57 : 5,196.87 = 5,196.87 : x
2. Step 2: Convert to fraction form
   2,371.57/5,196.87 = 5,196.87/x
3. Step 3: Cross multiply
   2,371.57x = 5,196.87 × 5,196.87
4. Step 4: Simplify right side
   2,371.57x = 27,007,428.56
5. Step 5: Solve for x
   x = 27,007,428.56/2,371.57
6. Step 6: Final answer
   x = 11,387.99