Finding the Third Proportional to 11,801 and 25,749

Step by Step Solution

1. Step 1: Write the proportion equation
   11,801 : 25,749 = 25,749 : x
2. Step 2: Convert to fraction form
   11,801/25,749 = 25,749/x
3. Step 3: Cross multiply
   11,801x = 25,749 × 25,749
4. Step 4: Simplify right side
   11,801x = 663,011,001
5. Step 5: Solve for x
   x = 663,011,001/11,801
6. Step 6: Final answer
   x = 56,182.61