Finding the Third Proportional to 1,022.06 and 2,124.56

Step by Step Solution

1. Step 1: Write the proportion equation
   1,022.06 : 2,124.56 = 2,124.56 : x
2. Step 2: Convert to fraction form
   1,022.06/2,124.56 = 2,124.56/x
3. Step 3: Cross multiply
   1,022.06x = 2,124.56 × 2,124.56
4. Step 4: Simplify right side
   1,022.06x = 4,513,765.82
5. Step 5: Solve for x
   x = 4,513,765.82/1,022.06
6. Step 6: Final answer
   x = 4,416.33