Finding the Third Proportional to 6,821 and 10,598

Step by Step Solution

1. Step 1: Write the proportion equation
   6,821 : 10,598 = 10,598 : x
2. Step 2: Convert to fraction form
   6,821/10,598 = 10,598/x
3. Step 3: Cross multiply
   6,821x = 10,598 × 10,598
4. Step 4: Simplify right side
   6,821x = 112,317,604
5. Step 5: Solve for x
   x = 112,317,604/6,821
6. Step 6: Final answer
   x = 16,466.44