Finding the Third Proportional to 6,738 and 7,978

Step by Step Solution

1. Step 1: Write the proportion equation
   6,738 : 7,978 = 7,978 : x
2. Step 2: Convert to fraction form
   6,738/7,978 = 7,978/x
3. Step 3: Cross multiply
   6,738x = 7,978 × 7,978
4. Step 4: Simplify right side
   6,738x = 63,648,484
5. Step 5: Solve for x
   x = 63,648,484/6,738
6. Step 6: Final answer
   x = 9,446.20