Finding the Third Proportional to 1,028.50 and 2,219.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,028.50 : 2,219.50 = 2,219.50 : x
2. Step 2: Convert to fraction form
   1,028.50/2,219.50 = 2,219.50/x
3. Step 3: Cross multiply
   1,028.50x = 2,219.50 × 2,219.50
4. Step 4: Simplify right side
   1,028.50x = 4,926,180.25
5. Step 5: Solve for x
   x = 4,926,180.25/1,028.50
6. Step 6: Final answer
   x = 4,789.67