Finding the Third Proportional to 32,871 and 68,082

Step by Step Solution

1. Step 1: Write the proportion equation
   32,871 : 68,082 = 68,082 : x
2. Step 2: Convert to fraction form
   32,871/68,082 = 68,082/x
3. Step 3: Cross multiply
   32,871x = 68,082 × 68,082
4. Step 4: Simplify right side
   32,871x = 4,635,158,724
5. Step 5: Solve for x
   x = 4,635,158,724/32,871
6. Step 6: Final answer
   x = 141,010.58