Finding the Third Proportional to 11,149 and 17,272.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,149 : 17,272.50 = 17,272.50 : x
2. Step 2: Convert to fraction form
   11,149/17,272.50 = 17,272.50/x
3. Step 3: Cross multiply
   11,149x = 17,272.50 × 17,272.50
4. Step 4: Simplify right side
   11,149x = 298,339,256.25
5. Step 5: Solve for x
   x = 298,339,256.25/11,149
6. Step 6: Final answer
   x = 26,759.28