Finding the Third Proportional to 32,760 and 76,944

Step by Step Solution

1. Step 1: Write the proportion equation
   32,760 : 76,944 = 76,944 : x
2. Step 2: Convert to fraction form
   32,760/76,944 = 76,944/x
3. Step 3: Cross multiply
   32,760x = 76,944 × 76,944
4. Step 4: Simplify right side
   32,760x = 5,920,379,136
5. Step 5: Solve for x
   x = 5,920,379,136/32,760
6. Step 6: Final answer
   x = 180,719.75