Finding the Third Proportional to 32,767 and 49,096

Step by Step Solution

1. Step 1: Write the proportion equation
   32,767 : 49,096 = 49,096 : x
2. Step 2: Convert to fraction form
   32,767/49,096 = 49,096/x
3. Step 3: Cross multiply
   32,767x = 49,096 × 49,096
4. Step 4: Simplify right side
   32,767x = 2,410,417,216
5. Step 5: Solve for x
   x = 2,410,417,216/32,767
6. Step 6: Final answer
   x = 73,562.34