Finding the Third Proportional to 17,978 and 39,238

Step by Step Solution

1. Step 1: Write the proportion equation
   17,978 : 39,238 = 39,238 : x
2. Step 2: Convert to fraction form
   17,978/39,238 = 39,238/x
3. Step 3: Cross multiply
   17,978x = 39,238 × 39,238
4. Step 4: Simplify right side
   17,978x = 1,539,620,644
5. Step 5: Solve for x
   x = 1,539,620,644/17,978
6. Step 6: Final answer
   x = 85,639.15