Finding the Third Proportional to 33,812 and 72,315

Step by Step Solution

1. Step 1: Write the proportion equation
   33,812 : 72,315 = 72,315 : x
2. Step 2: Convert to fraction form
   33,812/72,315 = 72,315/x
3. Step 3: Cross multiply
   33,812x = 72,315 × 72,315
4. Step 4: Simplify right side
   33,812x = 5,229,459,225
5. Step 5: Solve for x
   x = 5,229,459,225/33,812
6. Step 6: Final answer
   x = 154,662.82