Finding the Third Proportional to 2,257.13 and 3,488.06

Step by Step Solution

1. Step 1: Write the proportion equation
   2,257.13 : 3,488.06 = 3,488.06 : x
2. Step 2: Convert to fraction form
   2,257.13/3,488.06 = 3,488.06/x
3. Step 3: Cross multiply
   2,257.13x = 3,488.06 × 3,488.06
4. Step 4: Simplify right side
   2,257.13x = 12,166,580.00
5. Step 5: Solve for x
   x = 12,166,580.00/2,257.13
6. Step 6: Final answer
   x = 5,390.30