Finding the Third Proportional to 1,820.25 and 2,456.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,820.25 : 2,456.25 = 2,456.25 : x
2. Step 2: Convert to fraction form
   1,820.25/2,456.25 = 2,456.25/x
3. Step 3: Cross multiply
   1,820.25x = 2,456.25 × 2,456.25
4. Step 4: Simplify right side
   1,820.25x = 6,033,164.06
5. Step 5: Solve for x
   x = 6,033,164.06/1,820.25
6. Step 6: Final answer
   x = 3,314.47