Finding the Third Proportional to 2,282.55 and 3,322.27

Step by Step Solution

1. Step 1: Write the proportion equation
   2,282.55 : 3,322.27 = 3,322.27 : x
2. Step 2: Convert to fraction form
   2,282.55/3,322.27 = 3,322.27/x
3. Step 3: Cross multiply
   2,282.55x = 3,322.27 × 3,322.27
4. Step 4: Simplify right side
   2,282.55x = 11,037,448.88
5. Step 5: Solve for x
   x = 11,037,448.88/2,282.55
6. Step 6: Final answer
   x = 4,835.57