Finding the Third Proportional to 3,876 and 5,830

Step by Step Solution

1. Step 1: Write the proportion equation
   3,876 : 5,830 = 5,830 : x
2. Step 2: Convert to fraction form
   3,876/5,830 = 5,830/x
3. Step 3: Cross multiply
   3,876x = 5,830 × 5,830
4. Step 4: Simplify right side
   3,876x = 33,988,900
5. Step 5: Solve for x
   x = 33,988,900/3,876
6. Step 6: Final answer
   x = 8,769.07