Finding the Third Proportional to 11,752 and 25,166

Step by Step Solution

1. Step 1: Write the proportion equation
   11,752 : 25,166 = 25,166 : x
2. Step 2: Convert to fraction form
   11,752/25,166 = 25,166/x
3. Step 3: Cross multiply
   11,752x = 25,166 × 25,166
4. Step 4: Simplify right side
   11,752x = 633,327,556
5. Step 5: Solve for x
   x = 633,327,556/11,752
6. Step 6: Final answer
   x = 53,891.04