Finding the Third Proportional to 12,166 and 17,396

Step by Step Solution

1. Step 1: Write the proportion equation
   12,166 : 17,396 = 17,396 : x
2. Step 2: Convert to fraction form
   12,166/17,396 = 17,396/x
3. Step 3: Cross multiply
   12,166x = 17,396 × 17,396
4. Step 4: Simplify right side
   12,166x = 302,620,816
5. Step 5: Solve for x
   x = 302,620,816/12,166
6. Step 6: Final answer
   x = 24,874.31