Finding the Third Proportional to 11,749 and 17,182.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,749 : 17,182.50 = 17,182.50 : x
2. Step 2: Convert to fraction form
   11,749/17,182.50 = 17,182.50/x
3. Step 3: Cross multiply
   11,749x = 17,182.50 × 17,182.50
4. Step 4: Simplify right side
   11,749x = 295,238,306.25
5. Step 5: Solve for x
   x = 295,238,306.25/11,749
6. Step 6: Final answer
   x = 25,128.80