Finding the Third Proportional to 1,983.38 and 4,582.69

Step by Step Solution

1. Step 1: Write the proportion equation
   1,983.38 : 4,582.69 = 4,582.69 : x
2. Step 2: Convert to fraction form
   1,983.38/4,582.69 = 4,582.69/x
3. Step 3: Cross multiply
   1,983.38x = 4,582.69 × 4,582.69
4. Step 4: Simplify right side
   1,983.38x = 21,001,024.72
5. Step 5: Solve for x
   x = 21,001,024.72/1,983.38
6. Step 6: Final answer
   x = 10,588.53