Finding the Third Proportional to 16,164 and 24,678

Step by Step Solution

1. Step 1: Write the proportion equation
   16,164 : 24,678 = 24,678 : x
2. Step 2: Convert to fraction form
   16,164/24,678 = 24,678/x
3. Step 3: Cross multiply
   16,164x = 24,678 × 24,678
4. Step 4: Simplify right side
   16,164x = 609,003,684
5. Step 5: Solve for x
   x = 609,003,684/16,164
6. Step 6: Final answer
   x = 37,676.55