Finding the Third Proportional to 7,677 and 10,418

Step by Step Solution

1. Step 1: Write the proportion equation
   7,677 : 10,418 = 10,418 : x
2. Step 2: Convert to fraction form
   7,677/10,418 = 10,418/x
3. Step 3: Cross multiply
   7,677x = 10,418 × 10,418
4. Step 4: Simplify right side
   7,677x = 108,534,724
5. Step 5: Solve for x
   x = 108,534,724/7,677
6. Step 6: Final answer
   x = 14,137.65