Finding the Third Proportional to 10,926 and 18,229.50

Step by Step Solution

1. Step 1: Write the proportion equation
   10,926 : 18,229.50 = 18,229.50 : x
2. Step 2: Convert to fraction form
   10,926/18,229.50 = 18,229.50/x
3. Step 3: Cross multiply
   10,926x = 18,229.50 × 18,229.50
4. Step 4: Simplify right side
   10,926x = 332,314,670.25
5. Step 5: Solve for x
   x = 332,314,670.25/10,926
6. Step 6: Final answer
   x = 30,415.03