Finding the Third Proportional to 16,978 and 25,499

Step by Step Solution

1. Step 1: Write the proportion equation
   16,978 : 25,499 = 25,499 : x
2. Step 2: Convert to fraction form
   16,978/25,499 = 25,499/x
3. Step 3: Cross multiply
   16,978x = 25,499 × 25,499
4. Step 4: Simplify right side
   16,978x = 650,199,001
5. Step 5: Solve for x
   x = 650,199,001/16,978
6. Step 6: Final answer
   x = 38,296.56