Finding the Third Proportional to 2,563.31 and 5,837.91

Step by Step Solution

1. Step 1: Write the proportion equation
   2,563.31 : 5,837.91 = 5,837.91 : x
2. Step 2: Convert to fraction form
   2,563.31/5,837.91 = 5,837.91/x
3. Step 3: Cross multiply
   2,563.31x = 5,837.91 × 5,837.91
4. Step 4: Simplify right side
   2,563.31x = 34,081,149.38
5. Step 5: Solve for x
   x = 34,081,149.38/2,563.31
6. Step 6: Final answer
   x = 13,295.75