Finding the Third Proportional to 3,840 and 5,066

Step by Step Solution

1. Step 1: Write the proportion equation
   3,840 : 5,066 = 5,066 : x
2. Step 2: Convert to fraction form
   3,840/5,066 = 5,066/x
3. Step 3: Cross multiply
   3,840x = 5,066 × 5,066
4. Step 4: Simplify right side
   3,840x = 25,664,356
5. Step 5: Solve for x
   x = 25,664,356/3,840
6. Step 6: Final answer
   x = 6,683.43