Finding the Third Proportional to 16,144 and 33,178

Step by Step Solution

1. Step 1: Write the proportion equation
   16,144 : 33,178 = 33,178 : x
2. Step 2: Convert to fraction form
   16,144/33,178 = 33,178/x
3. Step 3: Cross multiply
   16,144x = 33,178 × 33,178
4. Step 4: Simplify right side
   16,144x = 1,100,779,684
5. Step 5: Solve for x
   x = 1,100,779,684/16,144
6. Step 6: Final answer
   x = 68,185.06