Finding the Third Proportional to 38,159 and 82,886

Step by Step Solution

1. Step 1: Write the proportion equation
   38,159 : 82,886 = 82,886 : x
2. Step 2: Convert to fraction form
   38,159/82,886 = 82,886/x
3. Step 3: Cross multiply
   38,159x = 82,886 × 82,886
4. Step 4: Simplify right side
   38,159x = 6,870,088,996
5. Step 5: Solve for x
   x = 6,870,088,996/38,159
6. Step 6: Final answer
   x = 180,038.50