Finding the Third Proportional to 11,314 and 17,264

Step by Step Solution

1. Step 1: Write the proportion equation
   11,314 : 17,264 = 17,264 : x
2. Step 2: Convert to fraction form
   11,314/17,264 = 17,264/x
3. Step 3: Cross multiply
   11,314x = 17,264 × 17,264
4. Step 4: Simplify right side
   11,314x = 298,045,696
5. Step 5: Solve for x
   x = 298,045,696/11,314
6. Step 6: Final answer
   x = 26,343.09