Finding the Third Proportional to 33,817 and 72,325

Step by Step Solution

1. Step 1: Write the proportion equation
   33,817 : 72,325 = 72,325 : x
2. Step 2: Convert to fraction form
   33,817/72,325 = 72,325/x
3. Step 3: Cross multiply
   33,817x = 72,325 × 72,325
4. Step 4: Simplify right side
   33,817x = 5,230,905,625
5. Step 5: Solve for x
   x = 5,230,905,625/33,817
6. Step 6: Final answer
   x = 154,682.72