Finding the Third Proportional to 37,584 and 82,608

Step by Step Solution

1. Step 1: Write the proportion equation
   37,584 : 82,608 = 82,608 : x
2. Step 2: Convert to fraction form
   37,584/82,608 = 82,608/x
3. Step 3: Cross multiply
   37,584x = 82,608 × 82,608
4. Step 4: Simplify right side
   37,584x = 6,824,081,664
5. Step 5: Solve for x
   x = 6,824,081,664/37,584
6. Step 6: Final answer
   x = 181,568.80