Finding the Third Proportional to 33,834 and 72,655

Step by Step Solution

1. Step 1: Write the proportion equation
   33,834 : 72,655 = 72,655 : x
2. Step 2: Convert to fraction form
   33,834/72,655 = 72,655/x
3. Step 3: Cross multiply
   33,834x = 72,655 × 72,655
4. Step 4: Simplify right side
   33,834x = 5,278,749,025
5. Step 5: Solve for x
   x = 5,278,749,025/33,834
6. Step 6: Final answer
   x = 156,019.06