Finding the Third Proportional to 7,788 and 10,493

Step by Step Solution

1. Step 1: Write the proportion equation
   7,788 : 10,493 = 10,493 : x
2. Step 2: Convert to fraction form
   7,788/10,493 = 10,493/x
3. Step 3: Cross multiply
   7,788x = 10,493 × 10,493
4. Step 4: Simplify right side
   7,788x = 110,103,049
5. Step 5: Solve for x
   x = 110,103,049/7,788
6. Step 6: Final answer
   x = 14,137.53