Finding the Third Proportional to 30,842 and 34,082

Step by Step Solution

1. Step 1: Write the proportion equation
   30,842 : 34,082 = 34,082 : x
2. Step 2: Convert to fraction form
   30,842/34,082 = 34,082/x
3. Step 3: Cross multiply
   30,842x = 34,082 × 34,082
4. Step 4: Simplify right side
   30,842x = 1,161,582,724
5. Step 5: Solve for x
   x = 1,161,582,724/30,842
6. Step 6: Final answer
   x = 37,662.37