Finding the Third Proportional to 10,075 and 21,823

Step by Step Solution

1. Step 1: Write the proportion equation
   10,075 : 21,823 = 21,823 : x
2. Step 2: Convert to fraction form
   10,075/21,823 = 21,823/x
3. Step 3: Cross multiply
   10,075x = 21,823 × 21,823
4. Step 4: Simplify right side
   10,075x = 476,243,329
5. Step 5: Solve for x
   x = 476,243,329/10,075
6. Step 6: Final answer
   x = 47,269.81