Finding the Third Proportional to 11,832 and 17,749

Step by Step Solution

1. Step 1: Write the proportion equation
   11,832 : 17,749 = 17,749 : x
2. Step 2: Convert to fraction form
   11,832/17,749 = 17,749/x
3. Step 3: Cross multiply
   11,832x = 17,749 × 17,749
4. Step 4: Simplify right side
   11,832x = 315,027,001
5. Step 5: Solve for x
   x = 315,027,001/11,832
6. Step 6: Final answer
   x = 26,625.00