Finding the Third Proportional to 1,648 and 3,633.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,648 : 3,633.50 = 3,633.50 : x
2. Step 2: Convert to fraction form
   1,648/3,633.50 = 3,633.50/x
3. Step 3: Cross multiply
   1,648x = 3,633.50 × 3,633.50
4. Step 4: Simplify right side
   1,648x = 13,202,322.25
5. Step 5: Solve for x
   x = 13,202,322.25/1,648
6. Step 6: Final answer
   x = 8,011.12