Finding the Third Proportional to 23,978 and 35,098

Step by Step Solution

1. Step 1: Write the proportion equation
   23,978 : 35,098 = 35,098 : x
2. Step 2: Convert to fraction form
   23,978/35,098 = 35,098/x
3. Step 3: Cross multiply
   23,978x = 35,098 × 35,098
4. Step 4: Simplify right side
   23,978x = 1,231,869,604
5. Step 5: Solve for x
   x = 1,231,869,604/23,978
6. Step 6: Final answer
   x = 51,374.99