Finding the Third Proportional to 2,978 and 3,522

Step by Step Solution

1. Step 1: Write the proportion equation
   2,978 : 3,522 = 3,522 : x
2. Step 2: Convert to fraction form
   2,978/3,522 = 3,522/x
3. Step 3: Cross multiply
   2,978x = 3,522 × 3,522
4. Step 4: Simplify right side
   2,978x = 12,404,484
5. Step 5: Solve for x
   x = 12,404,484/2,978
6. Step 6: Final answer
   x = 4,165.37