Finding the Third Proportional to 2,023.88 and 4,422.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,023.88 : 4,422.38 = 4,422.38 : x
2. Step 2: Convert to fraction form
   2,023.88/4,422.38 = 4,422.38/x
3. Step 3: Cross multiply
   2,023.88x = 4,422.38 × 4,422.38
4. Step 4: Simplify right side
   2,023.88x = 19,557,400.64
5. Step 5: Solve for x
   x = 19,557,400.64/2,023.88
6. Step 6: Final answer
   x = 9,663.34