Finding the Third Proportional to 37,206 and 57,546

Step by Step Solution

1. Step 1: Write the proportion equation
   37,206 : 57,546 = 57,546 : x
2. Step 2: Convert to fraction form
   37,206/57,546 = 57,546/x
3. Step 3: Cross multiply
   37,206x = 57,546 × 57,546
4. Step 4: Simplify right side
   37,206x = 3,311,542,116
5. Step 5: Solve for x
   x = 3,311,542,116/37,206
6. Step 6: Final answer
   x = 89,005.59