Finding the Third Proportional to 2,978 and 5,324

Step by Step Solution

1. Step 1: Write the proportion equation
   2,978 : 5,324 = 5,324 : x
2. Step 2: Convert to fraction form
   2,978/5,324 = 5,324/x
3. Step 3: Cross multiply
   2,978x = 5,324 × 5,324
4. Step 4: Simplify right side
   2,978x = 28,344,976
5. Step 5: Solve for x
   x = 28,344,976/2,978
6. Step 6: Final answer
   x = 9,518.12