Finding the Third Proportional to 16,178 and 33,739

Step by Step Solution

1. Step 1: Write the proportion equation
   16,178 : 33,739 = 33,739 : x
2. Step 2: Convert to fraction form
   16,178/33,739 = 33,739/x
3. Step 3: Cross multiply
   16,178x = 33,739 × 33,739
4. Step 4: Simplify right side
   16,178x = 1,138,320,121
5. Step 5: Solve for x
   x = 1,138,320,121/16,178
6. Step 6: Final answer
   x = 70,362.23