Finding the Third Proportional to 5,586 and 13,077

Step by Step Solution

1. Step 1: Write the proportion equation
   5,586 : 13,077 = 13,077 : x
2. Step 2: Convert to fraction form
   5,586/13,077 = 13,077/x
3. Step 3: Cross multiply
   5,586x = 13,077 × 13,077
4. Step 4: Simplify right side
   5,586x = 171,007,929
5. Step 5: Solve for x
   x = 171,007,929/5,586
6. Step 6: Final answer
   x = 30,613.66