Finding the Third Proportional to 2,024.68 and 4,424.31

Step by Step Solution

1. Step 1: Write the proportion equation
   2,024.68 : 4,424.31 = 4,424.31 : x
2. Step 2: Convert to fraction form
   2,024.68/4,424.31 = 4,424.31/x
3. Step 3: Cross multiply
   2,024.68x = 4,424.31 × 4,424.31
4. Step 4: Simplify right side
   2,024.68x = 19,574,506.53
5. Step 5: Solve for x
   x = 19,574,506.53/2,024.68
6. Step 6: Final answer
   x = 9,667.93