Finding the Third Proportional to 11,402 and 17,849

Step by Step Solution

1. Step 1: Write the proportion equation
   11,402 : 17,849 = 17,849 : x
2. Step 2: Convert to fraction form
   11,402/17,849 = 17,849/x
3. Step 3: Cross multiply
   11,402x = 17,849 × 17,849
4. Step 4: Simplify right side
   11,402x = 318,586,801
5. Step 5: Solve for x
   x = 318,586,801/11,402
6. Step 6: Final answer
   x = 27,941.31