Finding the Third Proportional to 37,810 and 82,855

Step by Step Solution

1. Step 1: Write the proportion equation
   37,810 : 82,855 = 82,855 : x
2. Step 2: Convert to fraction form
   37,810/82,855 = 82,855/x
3. Step 3: Cross multiply
   37,810x = 82,855 × 82,855
4. Step 4: Simplify right side
   37,810x = 6,864,951,025
5. Step 5: Solve for x
   x = 6,864,951,025/37,810
6. Step 6: Final answer
   x = 181,564.43