Finding the Third Proportional to 11,469.50 and 17,635

Step by Step Solution

1. Step 1: Write the proportion equation
   11,469.50 : 17,635 = 17,635 : x
2. Step 2: Convert to fraction form
   11,469.50/17,635 = 17,635/x
3. Step 3: Cross multiply
   11,469.50x = 17,635 × 17,635
4. Step 4: Simplify right side
   11,469.50x = 310,993,225
5. Step 5: Solve for x
   x = 310,993,225/11,469.50
6. Step 6: Final answer
   x = 27,114.80