Finding the Third Proportional to 1,028.25 and 2,193.33

Step by Step Solution

1. Step 1: Write the proportion equation
   1,028.25 : 2,193.33 = 2,193.33 : x
2. Step 2: Convert to fraction form
   1,028.25/2,193.33 = 2,193.33/x
3. Step 3: Cross multiply
   1,028.25x = 2,193.33 × 2,193.33
4. Step 4: Simplify right side
   1,028.25x = 4,810,688.26
5. Step 5: Solve for x
   x = 4,810,688.26/1,028.25
6. Step 6: Final answer
   x = 4,678.52