Finding the Third Proportional to 33,938 and 72,383.50

Step by Step Solution

1. Step 1: Write the proportion equation
   33,938 : 72,383.50 = 72,383.50 : x
2. Step 2: Convert to fraction form
   33,938/72,383.50 = 72,383.50/x
3. Step 3: Cross multiply
   33,938x = 72,383.50 × 72,383.50
4. Step 4: Simplify right side
   33,938x = 5,239,371,072.25
5. Step 5: Solve for x
   x = 5,239,371,072.25/33,938
6. Step 6: Final answer
   x = 154,380.67