Finding the Third Proportional to 41,208 and 58,212

Step by Step Solution

1. Step 1: Write the proportion equation
   41,208 : 58,212 = 58,212 : x
2. Step 2: Convert to fraction form
   41,208/58,212 = 58,212/x
3. Step 3: Cross multiply
   41,208x = 58,212 × 58,212
4. Step 4: Simplify right side
   41,208x = 3,388,636,944
5. Step 5: Solve for x
   x = 3,388,636,944/41,208
6. Step 6: Final answer
   x = 82,232.50