Finding the Third Proportional to 38,871 and 83,689

Step by Step Solution

1. Step 1: Write the proportion equation
   38,871 : 83,689 = 83,689 : x
2. Step 2: Convert to fraction form
   38,871/83,689 = 83,689/x
3. Step 3: Cross multiply
   38,871x = 83,689 × 83,689
4. Step 4: Simplify right side
   38,871x = 7,003,848,721
5. Step 5: Solve for x
   x = 7,003,848,721/38,871
6. Step 6: Final answer
   x = 180,181.85