Finding the Third Proportional to 2,083.06 and 3,259.14

Step by Step Solution

1. Step 1: Write the proportion equation
   2,083.06 : 3,259.14 = 3,259.14 : x
2. Step 2: Convert to fraction form
   2,083.06/3,259.14 = 3,259.14/x
3. Step 3: Cross multiply
   2,083.06x = 3,259.14 × 3,259.14
4. Step 4: Simplify right side
   2,083.06x = 10,622,010.34
5. Step 5: Solve for x
   x = 10,622,010.34/2,083.06
6. Step 6: Final answer
   x = 5,099.23