Finding the Third Proportional to 14,546 and 30,823

Step by Step Solution

1. Step 1: Write the proportion equation
   14,546 : 30,823 = 30,823 : x
2. Step 2: Convert to fraction form
   14,546/30,823 = 30,823/x
3. Step 3: Cross multiply
   14,546x = 30,823 × 30,823
4. Step 4: Simplify right side
   14,546x = 950,057,329
5. Step 5: Solve for x
   x = 950,057,329/14,546
6. Step 6: Final answer
   x = 65,313.99