Finding the Third Proportional to 25,939 and 50,582

Step by Step Solution

1. Step 1: Write the proportion equation
   25,939 : 50,582 = 50,582 : x
2. Step 2: Convert to fraction form
   25,939/50,582 = 50,582/x
3. Step 3: Cross multiply
   25,939x = 50,582 × 50,582
4. Step 4: Simplify right side
   25,939x = 2,558,538,724
5. Step 5: Solve for x
   x = 2,558,538,724/25,939
6. Step 6: Final answer
   x = 98,636.75