Finding the Third Proportional to 6,296 and 13,823

Step by Step Solution

1. Step 1: Write the proportion equation
   6,296 : 13,823 = 13,823 : x
2. Step 2: Convert to fraction form
   6,296/13,823 = 13,823/x
3. Step 3: Cross multiply
   6,296x = 13,823 × 13,823
4. Step 4: Simplify right side
   6,296x = 191,075,329
5. Step 5: Solve for x
   x = 191,075,329/6,296
6. Step 6: Final answer
   x = 30,348.69