Finding the Third Proportional to 2,038 and 3,200

Step by Step Solution

1. Step 1: Write the proportion equation
   2,038 : 3,200 = 3,200 : x
2. Step 2: Convert to fraction form
   2,038/3,200 = 3,200/x
3. Step 3: Cross multiply
   2,038x = 3,200 × 3,200
4. Step 4: Simplify right side
   2,038x = 10,240,000
5. Step 5: Solve for x
   x = 10,240,000/2,038
6. Step 6: Final answer
   x = 5,024.53