Finding the Third Proportional to 7,657 and 10,782

Step by Step Solution

1. Step 1: Write the proportion equation
   7,657 : 10,782 = 10,782 : x
2. Step 2: Convert to fraction form
   7,657/10,782 = 10,782/x
3. Step 3: Cross multiply
   7,657x = 10,782 × 10,782
4. Step 4: Simplify right side
   7,657x = 116,251,524
5. Step 5: Solve for x
   x = 116,251,524/7,657
6. Step 6: Final answer
   x = 15,182.39