Finding the Third Proportional to 633.50 and 1,496

Step by Step Solution

1. Step 1: Write the proportion equation
   633.50 : 1,496 = 1,496 : x
2. Step 2: Convert to fraction form
   633.50/1,496 = 1,496/x
3. Step 3: Cross multiply
   633.50x = 1,496 × 1,496
4. Step 4: Simplify right side
   633.50x = 2,238,016
5. Step 5: Solve for x
   x = 2,238,016/633.50
6. Step 6: Final answer
   x = 3,532.78