Finding the Third Proportional to 1,544.91 and 3,662.30

Step by Step Solution

1. Step 1: Write the proportion equation
   1,544.91 : 3,662.30 = 3,662.30 : x
2. Step 2: Convert to fraction form
   1,544.91/3,662.30 = 3,662.30/x
3. Step 3: Cross multiply
   1,544.91x = 3,662.30 × 3,662.30
4. Step 4: Simplify right side
   1,544.91x = 13,412,418.40
5. Step 5: Solve for x
   x = 13,412,418.40/1,544.91
6. Step 6: Final answer
   x = 8,681.70