Finding the Third Proportional to 6,978 and 7,970

Step by Step Solution

1. Step 1: Write the proportion equation
   6,978 : 7,970 = 7,970 : x
2. Step 2: Convert to fraction form
   6,978/7,970 = 7,970/x
3. Step 3: Cross multiply
   6,978x = 7,970 × 7,970
4. Step 4: Simplify right side
   6,978x = 63,520,900
5. Step 5: Solve for x
   x = 63,520,900/6,978
6. Step 6: Final answer
   x = 9,103.02