Finding the Third Proportional to 34,110 and 73,824

Step by Step Solution

1. Step 1: Write the proportion equation
   34,110 : 73,824 = 73,824 : x
2. Step 2: Convert to fraction form
   34,110/73,824 = 73,824/x
3. Step 3: Cross multiply
   34,110x = 73,824 × 73,824
4. Step 4: Simplify right side
   34,110x = 5,449,982,976
5. Step 5: Solve for x
   x = 5,449,982,976/34,110
6. Step 6: Final answer
   x = 159,776.69