Finding the Third Proportional to 5,170 and 5,650

Step by Step Solution

1. Step 1: Write the proportion equation
   5,170 : 5,650 = 5,650 : x
2. Step 2: Convert to fraction form
   5,170/5,650 = 5,650/x
3. Step 3: Cross multiply
   5,170x = 5,650 × 5,650
4. Step 4: Simplify right side
   5,170x = 31,922,500
5. Step 5: Solve for x
   x = 31,922,500/5,170
6. Step 6: Final answer
   x = 6,174.56