Finding the Third Proportional to 2,352.94 and 5,158.13

Step by Step Solution

1. Step 1: Write the proportion equation
   2,352.94 : 5,158.13 = 5,158.13 : x
2. Step 2: Convert to fraction form
   2,352.94/5,158.13 = 5,158.13/x
3. Step 3: Cross multiply
   2,352.94x = 5,158.13 × 5,158.13
4. Step 4: Simplify right side
   2,352.94x = 26,606,253.52
5. Step 5: Solve for x
   x = 26,606,253.52/2,352.94
6. Step 6: Final answer
   x = 11,307.68