Finding the Third Proportional to 2,352.16 and 5,114.39

Step by Step Solution

1. Step 1: Write the proportion equation
   2,352.16 : 5,114.39 = 5,114.39 : x
2. Step 2: Convert to fraction form
   2,352.16/5,114.39 = 5,114.39/x
3. Step 3: Cross multiply
   2,352.16x = 5,114.39 × 5,114.39
4. Step 4: Simplify right side
   2,352.16x = 26,156,991.47
5. Step 5: Solve for x
   x = 26,156,991.47/2,352.16
6. Step 6: Final answer
   x = 11,120.39