Finding the Third Proportional to 19,257 and 39,978

Step by Step Solution

1. Step 1: Write the proportion equation
   19,257 : 39,978 = 39,978 : x
2. Step 2: Convert to fraction form
   19,257/39,978 = 39,978/x
3. Step 3: Cross multiply
   19,257x = 39,978 × 39,978
4. Step 4: Simplify right side
   19,257x = 1,598,240,484
5. Step 5: Solve for x
   x = 1,598,240,484/19,257
6. Step 6: Final answer
   x = 82,995.30