Finding the Third Proportional to 16,200 and 34,734

Step by Step Solution

1. Step 1: Write the proportion equation
   16,200 : 34,734 = 34,734 : x
2. Step 2: Convert to fraction form
   16,200/34,734 = 34,734/x
3. Step 3: Cross multiply
   16,200x = 34,734 × 34,734
4. Step 4: Simplify right side
   16,200x = 1,206,450,756
5. Step 5: Solve for x
   x = 1,206,450,756/16,200
6. Step 6: Final answer
   x = 74,472.27