Finding the Third Proportional to 10,181 and 13,418

Step by Step Solution

1. Step 1: Write the proportion equation
   10,181 : 13,418 = 13,418 : x
2. Step 2: Convert to fraction form
   10,181/13,418 = 13,418/x
3. Step 3: Cross multiply
   10,181x = 13,418 × 13,418
4. Step 4: Simplify right side
   10,181x = 180,042,724
5. Step 5: Solve for x
   x = 180,042,724/10,181
6. Step 6: Final answer
   x = 17,684.19