Finding the Third Proportional to 33,408 and 72,360

Step by Step Solution

1. Step 1: Write the proportion equation
   33,408 : 72,360 = 72,360 : x
2. Step 2: Convert to fraction form
   33,408/72,360 = 72,360/x
3. Step 3: Cross multiply
   33,408x = 72,360 × 72,360
4. Step 4: Simplify right side
   33,408x = 5,235,969,600
5. Step 5: Solve for x
   x = 5,235,969,600/33,408
6. Step 6: Final answer
   x = 156,728.02