Finding the Third Proportional to 5,586.75 and 8,361.56

Step by Step Solution

1. Step 1: Write the proportion equation
   5,586.75 : 8,361.56 = 8,361.56 : x
2. Step 2: Convert to fraction form
   5,586.75/8,361.56 = 8,361.56/x
3. Step 3: Cross multiply
   5,586.75x = 8,361.56 × 8,361.56
4. Step 4: Simplify right side
   5,586.75x = 69,915,727.44
5. Step 5: Solve for x
   x = 69,915,727.44/5,586.75
6. Step 6: Final answer
   x = 12,514.56