Finding the Third Proportional to 2,322.56 and 3,265.59

Step by Step Solution

1. Step 1: Write the proportion equation
   2,322.56 : 3,265.59 = 3,265.59 : x
2. Step 2: Convert to fraction form
   2,322.56/3,265.59 = 3,265.59/x
3. Step 3: Cross multiply
   2,322.56x = 3,265.59 × 3,265.59
4. Step 4: Simplify right side
   2,322.56x = 10,664,102.54
5. Step 5: Solve for x
   x = 10,664,102.54/2,322.56
6. Step 6: Final answer
   x = 4,591.52