Finding the Third Proportional to 2,366 and 5,092

Step by Step Solution

1. Step 1: Write the proportion equation
   2,366 : 5,092 = 5,092 : x
2. Step 2: Convert to fraction form
   2,366/5,092 = 5,092/x
3. Step 3: Cross multiply
   2,366x = 5,092 × 5,092
4. Step 4: Simplify right side
   2,366x = 25,928,464
5. Step 5: Solve for x
   x = 25,928,464/2,366
6. Step 6: Final answer
   x = 10,958.78