Finding the Third Proportional to 2,847 and 5,830

Step by Step Solution

1. Step 1: Write the proportion equation
   2,847 : 5,830 = 5,830 : x
2. Step 2: Convert to fraction form
   2,847/5,830 = 5,830/x
3. Step 3: Cross multiply
   2,847x = 5,830 × 5,830
4. Step 4: Simplify right side
   2,847x = 33,988,900
5. Step 5: Solve for x
   x = 33,988,900/2,847
6. Step 6: Final answer
   x = 11,938.50