Finding the Third Proportional to 1,066 and 1,842

Step by Step Solution

1. Step 1: Write the proportion equation
   1,066 : 1,842 = 1,842 : x
2. Step 2: Convert to fraction form
   1,066/1,842 = 1,842/x
3. Step 3: Cross multiply
   1,066x = 1,842 × 1,842
4. Step 4: Simplify right side
   1,066x = 3,392,964
5. Step 5: Solve for x
   x = 3,392,964/1,066
6. Step 6: Final answer
   x = 3,182.89