Finding the Third Proportional to 10,797 and 16,204.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,797 : 16,204.50 = 16,204.50 : x
2. Step 2: Convert to fraction form
   10,797/16,204.50 = 16,204.50/x
3. Step 3: Cross multiply
   10,797x = 16,204.50 × 16,204.50
4. Step 4: Simplify right side
   10,797x = 262,585,820.25
5. Step 5: Solve for x
   x = 262,585,820.25/10,797
6. Step 6: Final answer
   x = 24,320.26