Finding the Third Proportional to 33,696 and 73,290

Step by Step Solution

1. Step 1: Write the proportion equation
   33,696 : 73,290 = 73,290 : x
2. Step 2: Convert to fraction form
   33,696/73,290 = 73,290/x
3. Step 3: Cross multiply
   33,696x = 73,290 × 73,290
4. Step 4: Simplify right side
   33,696x = 5,371,424,100
5. Step 5: Solve for x
   x = 5,371,424,100/33,696
6. Step 6: Final answer
   x = 159,408.36