Finding the Third Proportional to 11,776 and 17,320

Step by Step Solution

1. Step 1: Write the proportion equation
   11,776 : 17,320 = 17,320 : x
2. Step 2: Convert to fraction form
   11,776/17,320 = 17,320/x
3. Step 3: Cross multiply
   11,776x = 17,320 × 17,320
4. Step 4: Simplify right side
   11,776x = 299,982,400
5. Step 5: Solve for x
   x = 299,982,400/11,776
6. Step 6: Final answer
   x = 25,474.05