Finding the Third Proportional to 16,178 and 21,741

Step by Step Solution

1. Step 1: Write the proportion equation
   16,178 : 21,741 = 21,741 : x
2. Step 2: Convert to fraction form
   16,178/21,741 = 21,741/x
3. Step 3: Cross multiply
   16,178x = 21,741 × 21,741
4. Step 4: Simplify right side
   16,178x = 472,671,081
5. Step 5: Solve for x
   x = 472,671,081/16,178
6. Step 6: Final answer
   x = 29,216.90