Finding the Third Proportional to 37,316 and 80,648

Step by Step Solution

1. Step 1: Write the proportion equation
   37,316 : 80,648 = 80,648 : x
2. Step 2: Convert to fraction form
   37,316/80,648 = 80,648/x
3. Step 3: Cross multiply
   37,316x = 80,648 × 80,648
4. Step 4: Simplify right side
   37,316x = 6,504,099,904
5. Step 5: Solve for x
   x = 6,504,099,904/37,316
6. Step 6: Final answer
   x = 174,297.89