Finding the Third Proportional to 11,761 and 25,162

Step by Step Solution

1. Step 1: Write the proportion equation
   11,761 : 25,162 = 25,162 : x
2. Step 2: Convert to fraction form
   11,761/25,162 = 25,162/x
3. Step 3: Cross multiply
   11,761x = 25,162 × 25,162
4. Step 4: Simplify right side
   11,761x = 633,126,244
5. Step 5: Solve for x
   x = 633,126,244/11,761
6. Step 6: Final answer
   x = 53,832.69