Finding the Third Proportional to 7,767 and 10,255

Step by Step Solution

1. Step 1: Write the proportion equation
   7,767 : 10,255 = 10,255 : x
2. Step 2: Convert to fraction form
   7,767/10,255 = 10,255/x
3. Step 3: Cross multiply
   7,767x = 10,255 × 10,255
4. Step 4: Simplify right side
   7,767x = 105,165,025
5. Step 5: Solve for x
   x = 105,165,025/7,767
6. Step 6: Final answer
   x = 13,539.98