Finding the Third Proportional to 37,819 and 82,270

Step by Step Solution

1. Step 1: Write the proportion equation
   37,819 : 82,270 = 82,270 : x
2. Step 2: Convert to fraction form
   37,819/82,270 = 82,270/x
3. Step 3: Cross multiply
   37,819x = 82,270 × 82,270
4. Step 4: Simplify right side
   37,819x = 6,768,352,900
5. Step 5: Solve for x
   x = 6,768,352,900/37,819
6. Step 6: Final answer
   x = 178,967.00