Finding the Third Proportional to 2,330 and 5,071

Step by Step Solution

1. Step 1: Write the proportion equation
   2,330 : 5,071 = 5,071 : x
2. Step 2: Convert to fraction form
   2,330/5,071 = 5,071/x
3. Step 3: Cross multiply
   2,330x = 5,071 × 5,071
4. Step 4: Simplify right side
   2,330x = 25,715,041
5. Step 5: Solve for x
   x = 25,715,041/2,330
6. Step 6: Final answer
   x = 11,036.50