Finding the Third Proportional to 2,978 and 5,396

Step by Step Solution

1. Step 1: Write the proportion equation
   2,978 : 5,396 = 5,396 : x
2. Step 2: Convert to fraction form
   2,978/5,396 = 5,396/x
3. Step 3: Cross multiply
   2,978x = 5,396 × 5,396
4. Step 4: Simplify right side
   2,978x = 29,116,816
5. Step 5: Solve for x
   x = 29,116,816/2,978
6. Step 6: Final answer
   x = 9,777.31