Finding the Third Proportional to 32,960 and 49,456

Step by Step Solution

1. Step 1: Write the proportion equation
   32,960 : 49,456 = 49,456 : x
2. Step 2: Convert to fraction form
   32,960/49,456 = 49,456/x
3. Step 3: Cross multiply
   32,960x = 49,456 × 49,456
4. Step 4: Simplify right side
   32,960x = 2,445,895,936
5. Step 5: Solve for x
   x = 2,445,895,936/32,960
6. Step 6: Final answer
   x = 74,208.01