Finding the Third Proportional to 37,458 and 80,475

Step by Step Solution

1. Step 1: Write the proportion equation
   37,458 : 80,475 = 80,475 : x
2. Step 2: Convert to fraction form
   37,458/80,475 = 80,475/x
3. Step 3: Cross multiply
   37,458x = 80,475 × 80,475
4. Step 4: Simplify right side
   37,458x = 6,476,225,625
5. Step 5: Solve for x
   x = 6,476,225,625/37,458
6. Step 6: Final answer
   x = 172,892.99