Finding the Third Proportional to 2,066 and 3,462

Step by Step Solution

1. Step 1: Write the proportion equation
   2,066 : 3,462 = 3,462 : x
2. Step 2: Convert to fraction form
   2,066/3,462 = 3,462/x
3. Step 3: Cross multiply
   2,066x = 3,462 × 3,462
4. Step 4: Simplify right side
   2,066x = 11,985,444
5. Step 5: Solve for x
   x = 11,985,444/2,066
6. Step 6: Final answer
   x = 5,801.28