Finding the Third Proportional to 2,554.88 and 5,586.05

Step by Step Solution

1. Step 1: Write the proportion equation
   2,554.88 : 5,586.05 = 5,586.05 : x
2. Step 2: Convert to fraction form
   2,554.88/5,586.05 = 5,586.05/x
3. Step 3: Cross multiply
   2,554.88x = 5,586.05 × 5,586.05
4. Step 4: Simplify right side
   2,554.88x = 31,203,919.69
5. Step 5: Solve for x
   x = 31,203,919.69/2,554.88
6. Step 6: Final answer
   x = 12,213.48