Finding the Third Proportional to 2,038 and 2,800.50

Step by Step Solution

1. Step 1: Write the proportion equation
   2,038 : 2,800.50 = 2,800.50 : x
2. Step 2: Convert to fraction form
   2,038/2,800.50 = 2,800.50/x
3. Step 3: Cross multiply
   2,038x = 2,800.50 × 2,800.50
4. Step 4: Simplify right side
   2,038x = 7,842,800.25
5. Step 5: Solve for x
   x = 7,842,800.25/2,038
6. Step 6: Final answer
   x = 3,848.28