Finding the Third Proportional to 14,206 and 20,870

Step by Step Solution

1. Step 1: Write the proportion equation
   14,206 : 20,870 = 20,870 : x
2. Step 2: Convert to fraction form
   14,206/20,870 = 20,870/x
3. Step 3: Cross multiply
   14,206x = 20,870 × 20,870
4. Step 4: Simplify right side
   14,206x = 435,556,900
5. Step 5: Solve for x
   x = 435,556,900/14,206
6. Step 6: Final answer
   x = 30,660.07