Finding the Third Proportional to 25,994 and 39,538

Step by Step Solution

1. Step 1: Write the proportion equation
   25,994 : 39,538 = 39,538 : x
2. Step 2: Convert to fraction form
   25,994/39,538 = 39,538/x
3. Step 3: Cross multiply
   25,994x = 39,538 × 39,538
4. Step 4: Simplify right side
   25,994x = 1,563,253,444
5. Step 5: Solve for x
   x = 1,563,253,444/25,994
6. Step 6: Final answer
   x = 60,139.01