Finding the Third Proportional to 37,900 and 82,438

Step by Step Solution

1. Step 1: Write the proportion equation
   37,900 : 82,438 = 82,438 : x
2. Step 2: Convert to fraction form
   37,900/82,438 = 82,438/x
3. Step 3: Cross multiply
   37,900x = 82,438 × 82,438
4. Step 4: Simplify right side
   37,900x = 6,796,023,844
5. Step 5: Solve for x
   x = 6,796,023,844/37,900
6. Step 6: Final answer
   x = 179,314.61