Finding the Third Proportional to 2,090.25 and 3,206.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,090.25 : 3,206.25 = 3,206.25 : x
2. Step 2: Convert to fraction form
   2,090.25/3,206.25 = 3,206.25/x
3. Step 3: Cross multiply
   2,090.25x = 3,206.25 × 3,206.25
4. Step 4: Simplify right side
   2,090.25x = 10,280,039.06
5. Step 5: Solve for x
   x = 10,280,039.06/2,090.25
6. Step 6: Final answer
   x = 4,918.09