Finding the Third Proportional to 37,769 and 82,800

Step by Step Solution

1. Step 1: Write the proportion equation
   37,769 : 82,800 = 82,800 : x
2. Step 2: Convert to fraction form
   37,769/82,800 = 82,800/x
3. Step 3: Cross multiply
   37,769x = 82,800 × 82,800
4. Step 4: Simplify right side
   37,769x = 6,855,840,000
5. Step 5: Solve for x
   x = 6,855,840,000/37,769
6. Step 6: Final answer
   x = 181,520.29