Finding the Third Proportional to 5,176 and 5,536

Step by Step Solution

1. Step 1: Write the proportion equation
   5,176 : 5,536 = 5,536 : x
2. Step 2: Convert to fraction form
   5,176/5,536 = 5,536/x
3. Step 3: Cross multiply
   5,176x = 5,536 × 5,536
4. Step 4: Simplify right side
   5,176x = 30,647,296
5. Step 5: Solve for x
   x = 30,647,296/5,176
6. Step 6: Final answer
   x = 5,921.04