Finding the Third Proportional to 37,584 and 82,944

Step by Step Solution

1. Step 1: Write the proportion equation
   37,584 : 82,944 = 82,944 : x
2. Step 2: Convert to fraction form
   37,584/82,944 = 82,944/x
3. Step 3: Cross multiply
   37,584x = 82,944 × 82,944
4. Step 4: Simplify right side
   37,584x = 6,879,707,136
5. Step 5: Solve for x
   x = 6,879,707,136/37,584
6. Step 6: Final answer
   x = 183,048.83