Finding the Third Proportional to 10,820 and 16,230

Step by Step Solution

1. Step 1: Write the proportion equation
   10,820 : 16,230 = 16,230 : x
2. Step 2: Convert to fraction form
   10,820/16,230 = 16,230/x
3. Step 3: Cross multiply
   10,820x = 16,230 × 16,230
4. Step 4: Simplify right side
   10,820x = 263,412,900
5. Step 5: Solve for x
   x = 263,412,900/10,820
6. Step 6: Final answer
   x = 24,345