Finding the Third Proportional to 11,541 and 25,026

Step by Step Solution

1. Step 1: Write the proportion equation
   11,541 : 25,026 = 25,026 : x
2. Step 2: Convert to fraction form
   11,541/25,026 = 25,026/x
3. Step 3: Cross multiply
   11,541x = 25,026 × 25,026
4. Step 4: Simplify right side
   11,541x = 626,300,676
5. Step 5: Solve for x
   x = 626,300,676/11,541
6. Step 6: Final answer
   x = 54,267.45