Finding the Third Proportional to 5,242 and 5,980

Step by Step Solution

1. Step 1: Write the proportion equation
   5,242 : 5,980 = 5,980 : x
2. Step 2: Convert to fraction form
   5,242/5,980 = 5,980/x
3. Step 3: Cross multiply
   5,242x = 5,980 × 5,980
4. Step 4: Simplify right side
   5,242x = 35,760,400
5. Step 5: Solve for x
   x = 35,760,400/5,242
6. Step 6: Final answer
   x = 6,821.90