Finding the Third Proportional to 10,522 and 14,823

Step by Step Solution

1. Step 1: Write the proportion equation
   10,522 : 14,823 = 14,823 : x
2. Step 2: Convert to fraction form
   10,522/14,823 = 14,823/x
3. Step 3: Cross multiply
   10,522x = 14,823 × 14,823
4. Step 4: Simplify right side
   10,522x = 219,721,329
5. Step 5: Solve for x
   x = 219,721,329/10,522
6. Step 6: Final answer
   x = 20,882.09