Finding the Third Proportional to 33,760 and 72,512

Step by Step Solution

1. Step 1: Write the proportion equation
   33,760 : 72,512 = 72,512 : x
2. Step 2: Convert to fraction form
   33,760/72,512 = 72,512/x
3. Step 3: Cross multiply
   33,760x = 72,512 × 72,512
4. Step 4: Simplify right side
   33,760x = 5,257,990,144
5. Step 5: Solve for x
   x = 5,257,990,144/33,760
6. Step 6: Final answer
   x = 155,746.15