Finding the Third Proportional to 3,768 and 5,850

Step by Step Solution

1. Step 1: Write the proportion equation
   3,768 : 5,850 = 5,850 : x
2. Step 2: Convert to fraction form
   3,768/5,850 = 5,850/x
3. Step 3: Cross multiply
   3,768x = 5,850 × 5,850
4. Step 4: Simplify right side
   3,768x = 34,222,500
5. Step 5: Solve for x
   x = 34,222,500/3,768
6. Step 6: Final answer
   x = 9,082.40