Finding the Third Proportional to 11,365 and 17,223.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,365 : 17,223.50 = 17,223.50 : x
2. Step 2: Convert to fraction form
   11,365/17,223.50 = 17,223.50/x
3. Step 3: Cross multiply
   11,365x = 17,223.50 × 17,223.50
4. Step 4: Simplify right side
   11,365x = 296,648,952.25
5. Step 5: Solve for x
   x = 296,648,952.25/11,365
6. Step 6: Final answer
   x = 26,101.98