Finding the Third Proportional to 1,427.25 and 3,518.63

Step by Step Solution

1. Step 1: Write the proportion equation
   1,427.25 : 3,518.63 = 3,518.63 : x
2. Step 2: Convert to fraction form
   1,427.25/3,518.63 = 3,518.63/x
3. Step 3: Cross multiply
   1,427.25x = 3,518.63 × 3,518.63
4. Step 4: Simplify right side
   1,427.25x = 12,380,721.89
5. Step 5: Solve for x
   x = 12,380,721.89/1,427.25
6. Step 6: Final answer
   x = 8,674.53