Finding the Third Proportional to 5,926 and 11,150

Step by Step Solution

1. Step 1: Write the proportion equation
   5,926 : 11,150 = 11,150 : x
2. Step 2: Convert to fraction form
   5,926/11,150 = 11,150/x
3. Step 3: Cross multiply
   5,926x = 11,150 × 11,150
4. Step 4: Simplify right side
   5,926x = 124,322,500
5. Step 5: Solve for x
   x = 124,322,500/5,926
6. Step 6: Final answer
   x = 20,979.16