Finding the Third Proportional to 34,016 and 74,544

Step by Step Solution

1. Step 1: Write the proportion equation
   34,016 : 74,544 = 74,544 : x
2. Step 2: Convert to fraction form
   34,016/74,544 = 74,544/x
3. Step 3: Cross multiply
   34,016x = 74,544 × 74,544
4. Step 4: Simplify right side
   34,016x = 5,556,807,936
5. Step 5: Solve for x
   x = 5,556,807,936/34,016
6. Step 6: Final answer
   x = 163,358.65