Finding the Third Proportional to 1,539 and 2,320.31

Step by Step Solution

1. Step 1: Write the proportion equation
   1,539 : 2,320.31 = 2,320.31 : x
2. Step 2: Convert to fraction form
   1,539/2,320.31 = 2,320.31/x
3. Step 3: Cross multiply
   1,539x = 2,320.31 × 2,320.31
4. Step 4: Simplify right side
   1,539x = 5,383,850.10
5. Step 5: Solve for x
   x = 5,383,850.10/1,539
6. Step 6: Final answer
   x = 3,498.28