Finding the Third Proportional to 2,103 and 3,254.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,103 : 3,254.25 = 3,254.25 : x
2. Step 2: Convert to fraction form
   2,103/3,254.25 = 3,254.25/x
3. Step 3: Cross multiply
   2,103x = 3,254.25 × 3,254.25
4. Step 4: Simplify right side
   2,103x = 10,590,143.06
5. Step 5: Solve for x
   x = 10,590,143.06/2,103
6. Step 6: Final answer
   x = 5,035.73