Finding the Third Proportional to 7,758 and 10,086

Step by Step Solution

1. Step 1: Write the proportion equation
   7,758 : 10,086 = 10,086 : x
2. Step 2: Convert to fraction form
   7,758/10,086 = 10,086/x
3. Step 3: Cross multiply
   7,758x = 10,086 × 10,086
4. Step 4: Simplify right side
   7,758x = 101,727,396
5. Step 5: Solve for x
   x = 101,727,396/7,758
6. Step 6: Final answer
   x = 13,112.58