Finding the Third Proportional to 16,075 and 34,823

Step by Step Solution

1. Step 1: Write the proportion equation
   16,075 : 34,823 = 34,823 : x
2. Step 2: Convert to fraction form
   16,075/34,823 = 34,823/x
3. Step 3: Cross multiply
   16,075x = 34,823 × 34,823
4. Step 4: Simplify right side
   16,075x = 1,212,641,329
5. Step 5: Solve for x
   x = 1,212,641,329/16,075
6. Step 6: Final answer
   x = 75,436.47