Finding the Third Proportional to 33,408 and 72,645

Step by Step Solution

1. Step 1: Write the proportion equation
   33,408 : 72,645 = 72,645 : x
2. Step 2: Convert to fraction form
   33,408/72,645 = 72,645/x
3. Step 3: Cross multiply
   33,408x = 72,645 × 72,645
4. Step 4: Simplify right side
   33,408x = 5,277,296,025
5. Step 5: Solve for x
   x = 5,277,296,025/33,408
6. Step 6: Final answer
   x = 157,965.04