Finding the Third Proportional to 2,028 and 2,725.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,028 : 2,725.50 = 2,725.50 : x
2. Step 2: Convert to fraction form
   2,028/2,725.50 = 2,725.50/x
3. Step 3: Cross multiply
   2,028x = 2,725.50 × 2,725.50
4. Step 4: Simplify right side
   2,028x = 7,428,350.25
5. Step 5: Solve for x
   x = 7,428,350.25/2,028
6. Step 6: Final answer
   x = 3,662.89