Finding the Third Proportional to 1,456.25 and 2,185.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,456.25 : 2,185.38 = 2,185.38 : x
2. Step 2: Convert to fraction form
   1,456.25/2,185.38 = 2,185.38/x
3. Step 3: Cross multiply
   1,456.25x = 2,185.38 × 2,185.38
4. Step 4: Simplify right side
   1,456.25x = 4,775,863.89
5. Step 5: Solve for x
   x = 4,775,863.89/1,456.25
6. Step 6: Final answer
   x = 3,279.56