Finding the Third Proportional to 10,740 and 16,178

Step by Step Solution

1. Step 1: Write the proportion equation
   10,740 : 16,178 = 16,178 : x
2. Step 2: Convert to fraction form
   10,740/16,178 = 16,178/x
3. Step 3: Cross multiply
   10,740x = 16,178 × 16,178
4. Step 4: Simplify right side
   10,740x = 261,727,684
5. Step 5: Solve for x
   x = 261,727,684/10,740
6. Step 6: Final answer
   x = 24,369.43