Finding the Third Proportional to 1,598.50 and 3,200

Step by Step Solution

1. Step 1: Write the proportion equation
   1,598.50 : 3,200 = 3,200 : x
2. Step 2: Convert to fraction form
   1,598.50/3,200 = 3,200/x
3. Step 3: Cross multiply
   1,598.50x = 3,200 × 3,200
4. Step 4: Simplify right side
   1,598.50x = 10,240,000
5. Step 5: Solve for x
   x = 10,240,000/1,598.50
6. Step 6: Final answer
   x = 6,406.01