Finding the Third Proportional to 10,784 and 17,264

Step by Step Solution

1. Step 1: Write the proportion equation
   10,784 : 17,264 = 17,264 : x
2. Step 2: Convert to fraction form
   10,784/17,264 = 17,264/x
3. Step 3: Cross multiply
   10,784x = 17,264 × 17,264
4. Step 4: Simplify right side
   10,784x = 298,045,696
5. Step 5: Solve for x
   x = 298,045,696/10,784
6. Step 6: Final answer
   x = 27,637.77