Finding the Third Proportional to 755.89 and 1,648.16

Step by Step Solution

1. Step 1: Write the proportion equation
   755.89 : 1,648.16 = 1,648.16 : x
2. Step 2: Convert to fraction form
   755.89/1,648.16 = 1,648.16/x
3. Step 3: Cross multiply
   755.89x = 1,648.16 × 1,648.16
4. Step 4: Simplify right side
   755.89x = 2,716,431.90
5. Step 5: Solve for x
   x = 2,716,431.90/755.89
6. Step 6: Final answer
   x = 3,593.67