Finding the Third Proportional to 7,764 and 10,197

Step by Step Solution

1. Step 1: Write the proportion equation
   7,764 : 10,197 = 10,197 : x
2. Step 2: Convert to fraction form
   7,764/10,197 = 10,197/x
3. Step 3: Cross multiply
   7,764x = 10,197 × 10,197
4. Step 4: Simplify right side
   7,764x = 103,978,809
5. Step 5: Solve for x
   x = 103,978,809/7,764
6. Step 6: Final answer
   x = 13,392.43