Finding the Third Proportional to 10,166 and 13,494

Step by Step Solution

1. Step 1: Write the proportion equation
   10,166 : 13,494 = 13,494 : x
2. Step 2: Convert to fraction form
   10,166/13,494 = 13,494/x
3. Step 3: Cross multiply
   10,166x = 13,494 × 13,494
4. Step 4: Simplify right side
   10,166x = 182,088,036
5. Step 5: Solve for x
   x = 182,088,036/10,166
6. Step 6: Final answer
   x = 17,911.47