Finding the Third Proportional to 2,231.25 and 3,466.25

Step by Step Solution

1. Step 1: Write the proportion equation
   2,231.25 : 3,466.25 = 3,466.25 : x
2. Step 2: Convert to fraction form
   2,231.25/3,466.25 = 3,466.25/x
3. Step 3: Cross multiply
   2,231.25x = 3,466.25 × 3,466.25
4. Step 4: Simplify right side
   2,231.25x = 12,014,889.06
5. Step 5: Solve for x
   x = 12,014,889.06/2,231.25
6. Step 6: Final answer
   x = 5,384.82