Finding the Third Proportional to 6,583 and 10,421

Step by Step Solution

1. Step 1: Write the proportion equation
   6,583 : 10,421 = 10,421 : x
2. Step 2: Convert to fraction form
   6,583/10,421 = 10,421/x
3. Step 3: Cross multiply
   6,583x = 10,421 × 10,421
4. Step 4: Simplify right side
   6,583x = 108,597,241
5. Step 5: Solve for x
   x = 108,597,241/6,583
6. Step 6: Final answer
   x = 16,496.62