Finding the Third Proportional to 2,352.94 and 5,076.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,352.94 : 5,076.56 = 5,076.56 : x
2. Step 2: Convert to fraction form
   2,352.94/5,076.56 = 5,076.56/x
3. Step 3: Cross multiply
   2,352.94x = 5,076.56 × 5,076.56
4. Step 4: Simplify right side
   2,352.94x = 25,771,486.82
5. Step 5: Solve for x
   x = 25,771,486.82/2,352.94
6. Step 6: Final answer
   x = 10,952.90