Finding the Third Proportional to 11,586 and 17,332

Step by Step Solution

1. Step 1: Write the proportion equation
   11,586 : 17,332 = 17,332 : x
2. Step 2: Convert to fraction form
   11,586/17,332 = 17,332/x
3. Step 3: Cross multiply
   11,586x = 17,332 × 17,332
4. Step 4: Simplify right side
   11,586x = 300,398,224
5. Step 5: Solve for x
   x = 300,398,224/11,586
6. Step 6: Final answer
   x = 25,927.69