Finding the Third Proportional to 5,234 and 5,978

Step by Step Solution

1. Step 1: Write the proportion equation
   5,234 : 5,978 = 5,978 : x
2. Step 2: Convert to fraction form
   5,234/5,978 = 5,978/x
3. Step 3: Cross multiply
   5,234x = 5,978 × 5,978
4. Step 4: Simplify right side
   5,234x = 35,736,484
5. Step 5: Solve for x
   x = 35,736,484/5,234
6. Step 6: Final answer
   x = 6,827.76