Finding the Third Proportional to 9,406 and 13,151

Step by Step Solution

1. Step 1: Write the proportion equation
   9,406 : 13,151 = 13,151 : x
2. Step 2: Convert to fraction form
   9,406/13,151 = 13,151/x
3. Step 3: Cross multiply
   9,406x = 13,151 × 13,151
4. Step 4: Simplify right side
   9,406x = 172,948,801
5. Step 5: Solve for x
   x = 172,948,801/9,406
6. Step 6: Final answer
   x = 18,387.07