Finding the Third Proportional to 37,688 and 82,216

Step by Step Solution

1. Step 1: Write the proportion equation
   37,688 : 82,216 = 82,216 : x
2. Step 2: Convert to fraction form
   37,688/82,216 = 82,216/x
3. Step 3: Cross multiply
   37,688x = 82,216 × 82,216
4. Step 4: Simplify right side
   37,688x = 6,759,470,656
5. Step 5: Solve for x
   x = 6,759,470,656/37,688
6. Step 6: Final answer
   x = 179,353.39