Finding the Third Proportional to 38,686 and 83,686

Step by Step Solution

1. Step 1: Write the proportion equation
   38,686 : 83,686 = 83,686 : x
2. Step 2: Convert to fraction form
   38,686/83,686 = 83,686/x
3. Step 3: Cross multiply
   38,686x = 83,686 × 83,686
4. Step 4: Simplify right side
   38,686x = 7,003,346,596
5. Step 5: Solve for x
   x = 7,003,346,596/38,686
6. Step 6: Final answer
   x = 181,030.52