Finding the Third Proportional to 1,298.06 and 2,028.19

Step by Step Solution

1. Step 1: Write the proportion equation
   1,298.06 : 2,028.19 = 2,028.19 : x
2. Step 2: Convert to fraction form
   1,298.06/2,028.19 = 2,028.19/x
3. Step 3: Cross multiply
   1,298.06x = 2,028.19 × 2,028.19
4. Step 4: Simplify right side
   1,298.06x = 4,113,544.54
5. Step 5: Solve for x
   x = 4,113,544.54/1,298.06
6. Step 6: Final answer
   x = 3,168.99