Finding the Third Proportional to 7,972 and 10,082

Step by Step Solution

1. Step 1: Write the proportion equation
   7,972 : 10,082 = 10,082 : x
2. Step 2: Convert to fraction form
   7,972/10,082 = 10,082/x
3. Step 3: Cross multiply
   7,972x = 10,082 × 10,082
4. Step 4: Simplify right side
   7,972x = 101,646,724
5. Step 5: Solve for x
   x = 101,646,724/7,972
6. Step 6: Final answer
   x = 12,750.47