Finding the Third Proportional to 33,048 and 72,648

Step by Step Solution

1. Step 1: Write the proportion equation
   33,048 : 72,648 = 72,648 : x
2. Step 2: Convert to fraction form
   33,048/72,648 = 72,648/x
3. Step 3: Cross multiply
   33,048x = 72,648 × 72,648
4. Step 4: Simplify right side
   33,048x = 5,277,731,904
5. Step 5: Solve for x
   x = 5,277,731,904/33,048
6. Step 6: Final answer
   x = 159,698.98