Finding the Third Proportional to 33,543 and 72,225

Step by Step Solution

1. Step 1: Write the proportion equation
   33,543 : 72,225 = 72,225 : x
2. Step 2: Convert to fraction form
   33,543/72,225 = 72,225/x
3. Step 3: Cross multiply
   33,543x = 72,225 × 72,225
4. Step 4: Simplify right side
   33,543x = 5,216,450,625
5. Step 5: Solve for x
   x = 5,216,450,625/33,543
6. Step 6: Final answer
   x = 155,515.33