Finding the Third Proportional to 33,315 and 72,165

Step by Step Solution

1. Step 1: Write the proportion equation
   33,315 : 72,165 = 72,165 : x
2. Step 2: Convert to fraction form
   33,315/72,165 = 72,165/x
3. Step 3: Cross multiply
   33,315x = 72,165 × 72,165
4. Step 4: Simplify right side
   33,315x = 5,207,787,225
5. Step 5: Solve for x
   x = 5,207,787,225/33,315
6. Step 6: Final answer
   x = 156,319.59