Finding the Third Proportional to 1,023.47 and 2,208.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,023.47 : 2,208.09 = 2,208.09 : x
2. Step 2: Convert to fraction form
   1,023.47/2,208.09 = 2,208.09/x
3. Step 3: Cross multiply
   1,023.47x = 2,208.09 × 2,208.09
4. Step 4: Simplify right side
   1,023.47x = 4,875,678.01
5. Step 5: Solve for x
   x = 4,875,678.01/1,023.47
6. Step 6: Final answer
   x = 4,763.88