Finding the Third Proportional to 1,648 and 3,530

Step by Step Solution

1. Step 1: Write the proportion equation
   1,648 : 3,530 = 3,530 : x
2. Step 2: Convert to fraction form
   1,648/3,530 = 3,530/x
3. Step 3: Cross multiply
   1,648x = 3,530 × 3,530
4. Step 4: Simplify right side
   1,648x = 12,460,900
5. Step 5: Solve for x
   x = 12,460,900/1,648
6. Step 6: Final answer
   x = 7,561.23