Finding the Third Proportional to 25,546 and 38,162

Step by Step Solution

1. Step 1: Write the proportion equation
   25,546 : 38,162 = 38,162 : x
2. Step 2: Convert to fraction form
   25,546/38,162 = 38,162/x
3. Step 3: Cross multiply
   25,546x = 38,162 × 38,162
4. Step 4: Simplify right side
   25,546x = 1,456,338,244
5. Step 5: Solve for x
   x = 1,456,338,244/25,546
6. Step 6: Final answer
   x = 57,008.46