Finding the Third Proportional to 1,766 and 2,066

Step by Step Solution

1. Step 1: Write the proportion equation
   1,766 : 2,066 = 2,066 : x
2. Step 2: Convert to fraction form
   1,766/2,066 = 2,066/x
3. Step 3: Cross multiply
   1,766x = 2,066 × 2,066
4. Step 4: Simplify right side
   1,766x = 4,268,356
5. Step 5: Solve for x
   x = 4,268,356/1,766
6. Step 6: Final answer
   x = 2,416.96