Finding the Third Proportional to 11,409 and 17,066

Step by Step Solution

1. Step 1: Write the proportion equation
   11,409 : 17,066 = 17,066 : x
2. Step 2: Convert to fraction form
   11,409/17,066 = 17,066/x
3. Step 3: Cross multiply
   11,409x = 17,066 × 17,066
4. Step 4: Simplify right side
   11,409x = 291,248,356
5. Step 5: Solve for x
   x = 291,248,356/11,409
6. Step 6: Final answer
   x = 25,527.95