Finding the Third Proportional to 1,144.50 and 1,635

Step by Step Solution

1. Step 1: Write the proportion equation
   1,144.50 : 1,635 = 1,635 : x
2. Step 2: Convert to fraction form
   1,144.50/1,635 = 1,635/x
3. Step 3: Cross multiply
   1,144.50x = 1,635 × 1,635
4. Step 4: Simplify right side
   1,144.50x = 2,673,225
5. Step 5: Solve for x
   x = 2,673,225/1,144.50
6. Step 6: Final answer
   x = 2,335.71