Finding the Third Proportional to 10,870 and 16,821

Step by Step Solution

1. Step 1: Write the proportion equation
   10,870 : 16,821 = 16,821 : x
2. Step 2: Convert to fraction form
   10,870/16,821 = 16,821/x
3. Step 3: Cross multiply
   10,870x = 16,821 × 16,821
4. Step 4: Simplify right side
   10,870x = 282,946,041
5. Step 5: Solve for x
   x = 282,946,041/10,870
6. Step 6: Final answer
   x = 26,029.99