Finding the Third Proportional to 6,978 and 7,554

Step by Step Solution

1. Step 1: Write the proportion equation
   6,978 : 7,554 = 7,554 : x
2. Step 2: Convert to fraction form
   6,978/7,554 = 7,554/x
3. Step 3: Cross multiply
   6,978x = 7,554 × 7,554
4. Step 4: Simplify right side
   6,978x = 57,062,916
5. Step 5: Solve for x
   x = 57,062,916/6,978
6. Step 6: Final answer
   x = 8,177.55