Finding the Third Proportional to 2,978 and 3,194

Step by Step Solution

1. Step 1: Write the proportion equation
   2,978 : 3,194 = 3,194 : x
2. Step 2: Convert to fraction form
   2,978/3,194 = 3,194/x
3. Step 3: Cross multiply
   2,978x = 3,194 × 3,194
4. Step 4: Simplify right side
   2,978x = 10,201,636
5. Step 5: Solve for x
   x = 10,201,636/2,978
6. Step 6: Final answer
   x = 3,425.67