Finding the Third Proportional to 1,023.75 and 2,224.41

Step by Step Solution

1. Step 1: Write the proportion equation
   1,023.75 : 2,224.41 = 2,224.41 : x
2. Step 2: Convert to fraction form
   1,023.75/2,224.41 = 2,224.41/x
3. Step 3: Cross multiply
   1,023.75x = 2,224.41 × 2,224.41
4. Step 4: Simplify right side
   1,023.75x = 4,947,983.17
5. Step 5: Solve for x
   x = 4,947,983.17/1,023.75
6. Step 6: Final answer
   x = 4,833.19