Finding the Third Proportional to 1,536.47 and 3,609.14

Step by Step Solution

1. Step 1: Write the proportion equation
   1,536.47 : 3,609.14 = 3,609.14 : x
2. Step 2: Convert to fraction form
   1,536.47/3,609.14 = 3,609.14/x
3. Step 3: Cross multiply
   1,536.47x = 3,609.14 × 3,609.14
4. Step 4: Simplify right side
   1,536.47x = 13,025,896.05
5. Step 5: Solve for x
   x = 13,025,896.05/1,536.47
6. Step 6: Final answer
   x = 8,477.81