Finding the Third Proportional to 11,424 and 17,365.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,424 : 17,365.50 = 17,365.50 : x
2. Step 2: Convert to fraction form
   11,424/17,365.50 = 17,365.50/x
3. Step 3: Cross multiply
   11,424x = 17,365.50 × 17,365.50
4. Step 4: Simplify right side
   11,424x = 301,560,590.25
5. Step 5: Solve for x
   x = 301,560,590.25/11,424
6. Step 6: Final answer
   x = 26,397.11