Finding the Third Proportional to 37,940 and 82,886

Step by Step Solution

1. Step 1: Write the proportion equation
   37,940 : 82,886 = 82,886 : x
2. Step 2: Convert to fraction form
   37,940/82,886 = 82,886/x
3. Step 3: Cross multiply
   37,940x = 82,886 × 82,886
4. Step 4: Simplify right side
   37,940x = 6,870,088,996
5. Step 5: Solve for x
   x = 6,870,088,996/37,940
6. Step 6: Final answer
   x = 181,077.73