Finding the Third Proportional to 36,016 and 77,072

Step by Step Solution

1. Step 1: Write the proportion equation
   36,016 : 77,072 = 77,072 : x
2. Step 2: Convert to fraction form
   36,016/77,072 = 77,072/x
3. Step 3: Cross multiply
   36,016x = 77,072 × 77,072
4. Step 4: Simplify right side
   36,016x = 5,940,093,184
5. Step 5: Solve for x
   x = 5,940,093,184/36,016
6. Step 6: Final answer
   x = 164,929.29