Finding the Third Proportional to 33,821 and 72,625

Step by Step Solution

1. Step 1: Write the proportion equation
   33,821 : 72,625 = 72,625 : x
2. Step 2: Convert to fraction form
   33,821/72,625 = 72,625/x
3. Step 3: Cross multiply
   33,821x = 72,625 × 72,625
4. Step 4: Simplify right side
   33,821x = 5,274,390,625
5. Step 5: Solve for x
   x = 5,274,390,625/33,821
6. Step 6: Final answer
   x = 155,950.17