Finding the Third Proportional to 1,022.88 and 2,179.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.88 : 2,179.25 = 2,179.25 : x
2. Step 2: Convert to fraction form
   1,022.88/2,179.25 = 2,179.25/x
3. Step 3: Cross multiply
   1,022.88x = 2,179.25 × 2,179.25
4. Step 4: Simplify right side
   1,022.88x = 4,749,130.56
5. Step 5: Solve for x
   x = 4,749,130.56/1,022.88
6. Step 6: Final answer
   x = 4,642.92