Finding the Third Proportional to 10,946 and 25,697

Step by Step Solution

1. Step 1: Write the proportion equation
   10,946 : 25,697 = 25,697 : x
2. Step 2: Convert to fraction form
   10,946/25,697 = 25,697/x
3. Step 3: Cross multiply
   10,946x = 25,697 × 25,697
4. Step 4: Simplify right side
   10,946x = 660,335,809
5. Step 5: Solve for x
   x = 660,335,809/10,946
6. Step 6: Final answer
   x = 60,326.68