Finding the Third Proportional to 11,673 and 17,524.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,673 : 17,524.50 = 17,524.50 : x
2. Step 2: Convert to fraction form
   11,673/17,524.50 = 17,524.50/x
3. Step 3: Cross multiply
   11,673x = 17,524.50 × 17,524.50
4. Step 4: Simplify right side
   11,673x = 307,108,100.25
5. Step 5: Solve for x
   x = 307,108,100.25/11,673
6. Step 6: Final answer
   x = 26,309.27