Finding the Third Proportional to 25,739 and 39,162

Step by Step Solution

1. Step 1: Write the proportion equation
   25,739 : 39,162 = 39,162 : x
2. Step 2: Convert to fraction form
   25,739/39,162 = 39,162/x
3. Step 3: Cross multiply
   25,739x = 39,162 × 39,162
4. Step 4: Simplify right side
   25,739x = 1,533,662,244
5. Step 5: Solve for x
   x = 1,533,662,244/25,739
6. Step 6: Final answer
   x = 59,585.15