Finding the Third Proportional to 5,300 and 5,780

Step by Step Solution

1. Step 1: Write the proportion equation
   5,300 : 5,780 = 5,780 : x
2. Step 2: Convert to fraction form
   5,300/5,780 = 5,780/x
3. Step 3: Cross multiply
   5,300x = 5,780 × 5,780
4. Step 4: Simplify right side
   5,300x = 33,408,400
5. Step 5: Solve for x
   x = 33,408,400/5,300
6. Step 6: Final answer
   x = 6,303.47