Finding the Third Proportional to 1,544 and 3,290.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,544 : 3,290.50 = 3,290.50 : x
2. Step 2: Convert to fraction form
   1,544/3,290.50 = 3,290.50/x
3. Step 3: Cross multiply
   1,544x = 3,290.50 × 3,290.50
4. Step 4: Simplify right side
   1,544x = 10,827,390.25
5. Step 5: Solve for x
   x = 10,827,390.25/1,544
6. Step 6: Final answer
   x = 7,012.56