Finding the Third Proportional to 5,086 and 5,566

Step by Step Solution

1. Step 1: Write the proportion equation
   5,086 : 5,566 = 5,566 : x
2. Step 2: Convert to fraction form
   5,086/5,566 = 5,566/x
3. Step 3: Cross multiply
   5,086x = 5,566 × 5,566
4. Step 4: Simplify right side
   5,086x = 30,980,356
5. Step 5: Solve for x
   x = 30,980,356/5,086
6. Step 6: Final answer
   x = 6,091.30