Finding the Third Proportional to 23,978 and 35,823

Step by Step Solution

1. Step 1: Write the proportion equation
   23,978 : 35,823 = 35,823 : x
2. Step 2: Convert to fraction form
   23,978/35,823 = 35,823/x
3. Step 3: Cross multiply
   23,978x = 35,823 × 35,823
4. Step 4: Simplify right side
   23,978x = 1,283,287,329
5. Step 5: Solve for x
   x = 1,283,287,329/23,978
6. Step 6: Final answer
   x = 53,519.36