Finding the Third Proportional to 1,028.81 and 2,194.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,028.81 : 2,194.31 = 2,194.31 : x
2. Step 2: Convert to fraction form
   1,028.81/2,194.31 = 2,194.31/x
3. Step 3: Cross multiply
   1,028.81x = 2,194.31 × 2,194.31
4. Step 4: Simplify right side
   1,028.81x = 4,815,007.35
5. Step 5: Solve for x
   x = 4,815,007.35/1,028.81
6. Step 6: Final answer
   x = 4,680.16