Finding the Third Proportional to 38,869 and 83,684

Step by Step Solution

1. Step 1: Write the proportion equation
   38,869 : 83,684 = 83,684 : x
2. Step 2: Convert to fraction form
   38,869/83,684 = 83,684/x
3. Step 3: Cross multiply
   38,869x = 83,684 × 83,684
4. Step 4: Simplify right side
   38,869x = 7,003,011,856
5. Step 5: Solve for x
   x = 7,003,011,856/38,869
6. Step 6: Final answer
   x = 180,169.59