Finding the Third Proportional to 2,978 and 4,608

Step by Step Solution

1. Step 1: Write the proportion equation
   2,978 : 4,608 = 4,608 : x
2. Step 2: Convert to fraction form
   2,978/4,608 = 4,608/x
3. Step 3: Cross multiply
   2,978x = 4,608 × 4,608
4. Step 4: Simplify right side
   2,978x = 21,233,664
5. Step 5: Solve for x
   x = 21,233,664/2,978
6. Step 6: Final answer
   x = 7,130.18