Finding the Third Proportional to 23,874 and 35,082

Step by Step Solution

1. Step 1: Write the proportion equation
   23,874 : 35,082 = 35,082 : x
2. Step 2: Convert to fraction form
   23,874/35,082 = 35,082/x
3. Step 3: Cross multiply
   23,874x = 35,082 × 35,082
4. Step 4: Simplify right side
   23,874x = 1,230,746,724
5. Step 5: Solve for x
   x = 1,230,746,724/23,874
6. Step 6: Final answer
   x = 51,551.76