Finding the Third Proportional to 10,975 and 25,894

Step by Step Solution

1. Step 1: Write the proportion equation
   10,975 : 25,894 = 25,894 : x
2. Step 2: Convert to fraction form
   10,975/25,894 = 25,894/x
3. Step 3: Cross multiply
   10,975x = 25,894 × 25,894
4. Step 4: Simplify right side
   10,975x = 670,499,236
5. Step 5: Solve for x
   x = 670,499,236/10,975
6. Step 6: Final answer
   x = 61,093.32