Finding the Third Proportional to 959.50 and 1,322.75

Step by Step Solution

1. Step 1: Write the proportion equation
   959.50 : 1,322.75 = 1,322.75 : x
2. Step 2: Convert to fraction form
   959.50/1,322.75 = 1,322.75/x
3. Step 3: Cross multiply
   959.50x = 1,322.75 × 1,322.75
4. Step 4: Simplify right side
   959.50x = 1,749,667.56
5. Step 5: Solve for x
   x = 1,749,667.56/959.50
6. Step 6: Final answer
   x = 1,823.52