Finding the Third Proportional to 1,023.57 and 2,252.18

Step by Step Solution

1. Step 1: Write the proportion equation
   1,023.57 : 2,252.18 = 2,252.18 : x
2. Step 2: Convert to fraction form
   1,023.57/2,252.18 = 2,252.18/x
3. Step 3: Cross multiply
   1,023.57x = 2,252.18 × 2,252.18
4. Step 4: Simplify right side
   1,023.57x = 5,072,313.34
5. Step 5: Solve for x
   x = 5,072,313.34/1,023.57
6. Step 6: Final answer
   x = 4,955.49