Finding the Third Proportional to 1,022.63 and 2,231.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.63 : 2,231.25 = 2,231.25 : x
2. Step 2: Convert to fraction form
   1,022.63/2,231.25 = 2,231.25/x
3. Step 3: Cross multiply
   1,022.63x = 2,231.25 × 2,231.25
4. Step 4: Simplify right side
   1,022.63x = 4,978,476.56
5. Step 5: Solve for x
   x = 4,978,476.56/1,022.63
6. Step 6: Final answer
   x = 4,868.33