Finding the Third Proportional to 11,545 and 17,314

Step by Step Solution

1. Step 1: Write the proportion equation
   11,545 : 17,314 = 17,314 : x
2. Step 2: Convert to fraction form
   11,545/17,314 = 17,314/x
3. Step 3: Cross multiply
   11,545x = 17,314 × 17,314
4. Step 4: Simplify right side
   11,545x = 299,774,596
5. Step 5: Solve for x
   x = 299,774,596/11,545
6. Step 6: Final answer
   x = 25,965.75