Finding the Third Proportional to 59,328 and 82,944

Step by Step Solution

1. Step 1: Write the proportion equation
   59,328 : 82,944 = 82,944 : x
2. Step 2: Convert to fraction form
   59,328/82,944 = 82,944/x
3. Step 3: Cross multiply
   59,328x = 82,944 × 82,944
4. Step 4: Simplify right side
   59,328x = 6,879,707,136
5. Step 5: Solve for x
   x = 6,879,707,136/59,328
6. Step 6: Final answer
   x = 115,960.54