Finding the Third Proportional to 37,530 and 80,884

Step by Step Solution

1. Step 1: Write the proportion equation
   37,530 : 80,884 = 80,884 : x
2. Step 2: Convert to fraction form
   37,530/80,884 = 80,884/x
3. Step 3: Cross multiply
   37,530x = 80,884 × 80,884
4. Step 4: Simplify right side
   37,530x = 6,542,221,456
5. Step 5: Solve for x
   x = 6,542,221,456/37,530
6. Step 6: Final answer
   x = 174,319.78