Finding the Third Proportional to 1,458.42 and 2,322.42

Step by Step Solution

1. Step 1: Write the proportion equation
   1,458.42 : 2,322.42 = 2,322.42 : x
2. Step 2: Convert to fraction form
   1,458.42/2,322.42 = 2,322.42/x
3. Step 3: Cross multiply
   1,458.42x = 2,322.42 × 2,322.42
4. Step 4: Simplify right side
   1,458.42x = 5,393,643.37
5. Step 5: Solve for x
   x = 5,393,643.37/1,458.42
6. Step 6: Final answer
   x = 3,698.27