Finding the Third Proportional to 11,663 and 17,492

Step by Step Solution

1. Step 1: Write the proportion equation
   11,663 : 17,492 = 17,492 : x
2. Step 2: Convert to fraction form
   11,663/17,492 = 17,492/x
3. Step 3: Cross multiply
   11,663x = 17,492 × 17,492
4. Step 4: Simplify right side
   11,663x = 305,970,064
5. Step 5: Solve for x
   x = 305,970,064/11,663
6. Step 6: Final answer
   x = 26,234.25