Finding the Third Proportional to 16,180 and 21,742

Step by Step Solution

1. Step 1: Write the proportion equation
   16,180 : 21,742 = 21,742 : x
2. Step 2: Convert to fraction form
   16,180/21,742 = 21,742/x
3. Step 3: Cross multiply
   16,180x = 21,742 × 21,742
4. Step 4: Simplify right side
   16,180x = 472,714,564
5. Step 5: Solve for x
   x = 472,714,564/16,180
6. Step 6: Final answer
   x = 29,215.98