Finding the Third Proportional to 33,823.50 and 72,339

Step by Step Solution

1. Step 1: Write the proportion equation
   33,823.50 : 72,339 = 72,339 : x
2. Step 2: Convert to fraction form
   33,823.50/72,339 = 72,339/x
3. Step 3: Cross multiply
   33,823.50x = 72,339 × 72,339
4. Step 4: Simplify right side
   33,823.50x = 5,232,930,921
5. Step 5: Solve for x
   x = 5,232,930,921/33,823.50
6. Step 6: Final answer
   x = 154,712.87