Finding the Third Proportional to 3,784 and 5,846

Step by Step Solution

1. Step 1: Write the proportion equation
   3,784 : 5,846 = 5,846 : x
2. Step 2: Convert to fraction form
   3,784/5,846 = 5,846/x
3. Step 3: Cross multiply
   3,784x = 5,846 × 5,846
4. Step 4: Simplify right side
   3,784x = 34,175,716
5. Step 5: Solve for x
   x = 34,175,716/3,784
6. Step 6: Final answer
   x = 9,031.64