Finding the Third Proportional to 2,356 and 5,065

Step by Step Solution

1. Step 1: Write the proportion equation
   2,356 : 5,065 = 5,065 : x
2. Step 2: Convert to fraction form
   2,356/5,065 = 5,065/x
3. Step 3: Cross multiply
   2,356x = 5,065 × 5,065
4. Step 4: Simplify right side
   2,356x = 25,654,225
5. Step 5: Solve for x
   x = 25,654,225/2,356
6. Step 6: Final answer
   x = 10,888.89