Finding the Third Proportional to 2,978 and 8,034

Step by Step Solution

1. Step 1: Write the proportion equation
   2,978 : 8,034 = 8,034 : x
2. Step 2: Convert to fraction form
   2,978/8,034 = 8,034/x
3. Step 3: Cross multiply
   2,978x = 8,034 × 8,034
4. Step 4: Simplify right side
   2,978x = 64,545,156
5. Step 5: Solve for x
   x = 64,545,156/2,978
6. Step 6: Final answer
   x = 21,673.99