Finding the Third Proportional to 2,287.88 and 4,683.38

Step by Step Solution

1. Step 1: Write the proportion equation
   2,287.88 : 4,683.38 = 4,683.38 : x
2. Step 2: Convert to fraction form
   2,287.88/4,683.38 = 4,683.38/x
3. Step 3: Cross multiply
   2,287.88x = 4,683.38 × 4,683.38
4. Step 4: Simplify right side
   2,287.88x = 21,934,001.39
5. Step 5: Solve for x
   x = 21,934,001.39/2,287.88
6. Step 6: Final answer
   x = 9,587.06