Finding the Third Proportional to 2,365 and 5,162

Step by Step Solution

1. Step 1: Write the proportion equation
   2,365 : 5,162 = 5,162 : x
2. Step 2: Convert to fraction form
   2,365/5,162 = 5,162/x
3. Step 3: Cross multiply
   2,365x = 5,162 × 5,162
4. Step 4: Simplify right side
   2,365x = 26,646,244
5. Step 5: Solve for x
   x = 26,646,244/2,365
6. Step 6: Final answer
   x = 11,266.91