Finding the Third Proportional to 7,740 and 10,386

Step by Step Solution

1. Step 1: Write the proportion equation
   7,740 : 10,386 = 10,386 : x
2. Step 2: Convert to fraction form
   7,740/10,386 = 10,386/x
3. Step 3: Cross multiply
   7,740x = 10,386 × 10,386
4. Step 4: Simplify right side
   7,740x = 107,868,996
5. Step 5: Solve for x
   x = 107,868,996/7,740
6. Step 6: Final answer
   x = 13,936.56