Finding the Third Proportional to 3,784 and 5,710

Step by Step Solution

1. Step 1: Write the proportion equation
   3,784 : 5,710 = 5,710 : x
2. Step 2: Convert to fraction form
   3,784/5,710 = 5,710/x
3. Step 3: Cross multiply
   3,784x = 5,710 × 5,710
4. Step 4: Simplify right side
   3,784x = 32,604,100
5. Step 5: Solve for x
   x = 32,604,100/3,784
6. Step 6: Final answer
   x = 8,616.31