Finding the Third Proportional to 1,023.38 and 2,210.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,023.38 : 2,210.25 = 2,210.25 : x
2. Step 2: Convert to fraction form
   1,023.38/2,210.25 = 2,210.25/x
3. Step 3: Cross multiply
   1,023.38x = 2,210.25 × 2,210.25
4. Step 4: Simplify right side
   1,023.38x = 4,885,205.06
5. Step 5: Solve for x
   x = 4,885,205.06/1,023.38
6. Step 6: Final answer
   x = 4,773.62