Finding the Third Proportional to 1,285.38 and 2,823.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,285.38 : 2,823.31 = 2,823.31 : x
2. Step 2: Convert to fraction form
   1,285.38/2,823.31 = 2,823.31/x
3. Step 3: Cross multiply
   1,285.38x = 2,823.31 × 2,823.31
4. Step 4: Simplify right side
   1,285.38x = 7,971,093.47
5. Step 5: Solve for x
   x = 7,971,093.47/1,285.38
6. Step 6: Final answer
   x = 6,201.38