Finding the Third Proportional to 1,496.25 and 3,521.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,496.25 : 3,521.25 = 3,521.25 : x
2. Step 2: Convert to fraction form
   1,496.25/3,521.25 = 3,521.25/x
3. Step 3: Cross multiply
   1,496.25x = 3,521.25 × 3,521.25
4. Step 4: Simplify right side
   1,496.25x = 12,399,201.56
5. Step 5: Solve for x
   x = 12,399,201.56/1,496.25
6. Step 6: Final answer
   x = 8,286.85