Finding the Third Proportional to 7,678 and 17,942

Step by Step Solution

1. Step 1: Write the proportion equation
   7,678 : 17,942 = 17,942 : x
2. Step 2: Convert to fraction form
   7,678/17,942 = 17,942/x
3. Step 3: Cross multiply
   7,678x = 17,942 × 17,942
4. Step 4: Simplify right side
   7,678x = 321,915,364
5. Step 5: Solve for x
   x = 321,915,364/7,678
6. Step 6: Final answer
   x = 41,926.98