Finding the Third Proportional to 756 and 1,633.50

Step by Step Solution

1. Step 1: Write the proportion equation
   756 : 1,633.50 = 1,633.50 : x
2. Step 2: Convert to fraction form
   756/1,633.50 = 1,633.50/x
3. Step 3: Cross multiply
   756x = 1,633.50 × 1,633.50
4. Step 4: Simplify right side
   756x = 2,668,322.25
5. Step 5: Solve for x
   x = 2,668,322.25/756
6. Step 6: Final answer
   x = 3,529.53