Finding the Third Proportional to 37,475 and 80,508

Step by Step Solution

1. Step 1: Write the proportion equation
   37,475 : 80,508 = 80,508 : x
2. Step 2: Convert to fraction form
   37,475/80,508 = 80,508/x
3. Step 3: Cross multiply
   37,475x = 80,508 × 80,508
4. Step 4: Simplify right side
   37,475x = 6,481,538,064
5. Step 5: Solve for x
   x = 6,481,538,064/37,475
6. Step 6: Final answer
   x = 172,956.32