Finding the Third Proportional to 2,322.38 and 3,642.56

Step by Step Solution

1. Step 1: Write the proportion equation
   2,322.38 : 3,642.56 = 3,642.56 : x
2. Step 2: Convert to fraction form
   2,322.38/3,642.56 = 3,642.56/x
3. Step 3: Cross multiply
   2,322.38x = 3,642.56 × 3,642.56
4. Step 4: Simplify right side
   2,322.38x = 13,268,261.57
5. Step 5: Solve for x
   x = 13,268,261.57/2,322.38
6. Step 6: Final answer
   x = 5,713.23