Finding the Third Proportional to 1,090.50 and 2,282.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,090.50 : 2,282.25 = 2,282.25 : x
2. Step 2: Convert to fraction form
   1,090.50/2,282.25 = 2,282.25/x
3. Step 3: Cross multiply
   1,090.50x = 2,282.25 × 2,282.25
4. Step 4: Simplify right side
   1,090.50x = 5,208,665.06
5. Step 5: Solve for x
   x = 5,208,665.06/1,090.50
6. Step 6: Final answer
   x = 4,776.40