Finding the Third Proportional to 16,077 and 34,914

Step by Step Solution

1. Step 1: Write the proportion equation
   16,077 : 34,914 = 34,914 : x
2. Step 2: Convert to fraction form
   16,077/34,914 = 34,914/x
3. Step 3: Cross multiply
   16,077x = 34,914 × 34,914
4. Step 4: Simplify right side
   16,077x = 1,218,987,396
5. Step 5: Solve for x
   x = 1,218,987,396/16,077
6. Step 6: Final answer
   x = 75,821.82