Finding the Third Proportional to 2,066 and 5,111

Step by Step Solution

1. Step 1: Write the proportion equation
   2,066 : 5,111 = 5,111 : x
2. Step 2: Convert to fraction form
   2,066/5,111 = 5,111/x
3. Step 3: Cross multiply
   2,066x = 5,111 × 5,111
4. Step 4: Simplify right side
   2,066x = 26,122,321
5. Step 5: Solve for x
   x = 26,122,321/2,066
6. Step 6: Final answer
   x = 12,643.91