Finding the Third Proportional to 10,697 and 25,365

Step by Step Solution

1. Step 1: Write the proportion equation
   10,697 : 25,365 = 25,365 : x
2. Step 2: Convert to fraction form
   10,697/25,365 = 25,365/x
3. Step 3: Cross multiply
   10,697x = 25,365 × 25,365
4. Step 4: Simplify right side
   10,697x = 643,383,225
5. Step 5: Solve for x
   x = 643,383,225/10,697
6. Step 6: Final answer
   x = 60,146.14