Finding the Third Proportional to 1,036 and 2,054

Step by Step Solution

1. Step 1: Write the proportion equation
   1,036 : 2,054 = 2,054 : x
2. Step 2: Convert to fraction form
   1,036/2,054 = 2,054/x
3. Step 3: Cross multiply
   1,036x = 2,054 × 2,054
4. Step 4: Simplify right side
   1,036x = 4,218,916
5. Step 5: Solve for x
   x = 4,218,916/1,036
6. Step 6: Final answer
   x = 4,072.31