Finding the Third Proportional to 1,356.38 and 1,842.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,356.38 : 1,842.94 = 1,842.94 : x
2. Step 2: Convert to fraction form
   1,356.38/1,842.94 = 1,842.94/x
3. Step 3: Cross multiply
   1,356.38x = 1,842.94 × 1,842.94
4. Step 4: Simplify right side
   1,356.38x = 3,396,418.63
5. Step 5: Solve for x
   x = 3,396,418.63/1,356.38
6. Step 6: Final answer
   x = 2,504.04