Finding the Third Proportional to 33,770 and 72,436

Step by Step Solution

1. Step 1: Write the proportion equation
   33,770 : 72,436 = 72,436 : x
2. Step 2: Convert to fraction form
   33,770/72,436 = 72,436/x
3. Step 3: Cross multiply
   33,770x = 72,436 × 72,436
4. Step 4: Simplify right side
   33,770x = 5,246,974,096
5. Step 5: Solve for x
   x = 5,246,974,096/33,770
6. Step 6: Final answer
   x = 155,373.83