Finding the Third Proportional to 37,810 and 82,856

Step by Step Solution

1. Step 1: Write the proportion equation
   37,810 : 82,856 = 82,856 : x
2. Step 2: Convert to fraction form
   37,810/82,856 = 82,856/x
3. Step 3: Cross multiply
   37,810x = 82,856 × 82,856
4. Step 4: Simplify right side
   37,810x = 6,865,116,736
5. Step 5: Solve for x
   x = 6,865,116,736/37,810
6. Step 6: Final answer
   x = 181,568.81