Finding the Third Proportional to 10,975 and 23,797

Step by Step Solution

1. Step 1: Write the proportion equation
   10,975 : 23,797 = 23,797 : x
2. Step 2: Convert to fraction form
   10,975/23,797 = 23,797/x
3. Step 3: Cross multiply
   10,975x = 23,797 × 23,797
4. Step 4: Simplify right side
   10,975x = 566,297,209
5. Step 5: Solve for x
   x = 566,297,209/10,975
6. Step 6: Final answer
   x = 51,598.83