Finding the Third Proportional to 11,402 and 13,082

Step by Step Solution

1. Step 1: Write the proportion equation
   11,402 : 13,082 = 13,082 : x
2. Step 2: Convert to fraction form
   11,402/13,082 = 13,082/x
3. Step 3: Cross multiply
   11,402x = 13,082 × 13,082
4. Step 4: Simplify right side
   11,402x = 171,138,724
5. Step 5: Solve for x
   x = 171,138,724/11,402
6. Step 6: Final answer
   x = 15,009.54