Finding the Third Proportional to 37,336 and 82,448

Step by Step Solution

1. Step 1: Write the proportion equation
   37,336 : 82,448 = 82,448 : x
2. Step 2: Convert to fraction form
   37,336/82,448 = 82,448/x
3. Step 3: Cross multiply
   37,336x = 82,448 × 82,448
4. Step 4: Simplify right side
   37,336x = 6,797,672,704
5. Step 5: Solve for x
   x = 6,797,672,704/37,336
6. Step 6: Final answer
   x = 182,067.51