Finding the Third Proportional to 7,978 and 17,467

Step by Step Solution

1. Step 1: Write the proportion equation
   7,978 : 17,467 = 17,467 : x
2. Step 2: Convert to fraction form
   7,978/17,467 = 17,467/x
3. Step 3: Cross multiply
   7,978x = 17,467 × 17,467
4. Step 4: Simplify right side
   7,978x = 305,096,089
5. Step 5: Solve for x
   x = 305,096,089/7,978
6. Step 6: Final answer
   x = 38,242.18