Finding the Third Proportional to 10,926 and 24,084

Step by Step Solution

1. Step 1: Write the proportion equation
   10,926 : 24,084 = 24,084 : x
2. Step 2: Convert to fraction form
   10,926/24,084 = 24,084/x
3. Step 3: Cross multiply
   10,926x = 24,084 × 24,084
4. Step 4: Simplify right side
   10,926x = 580,039,056
5. Step 5: Solve for x
   x = 580,039,056/10,926
6. Step 6: Final answer
   x = 53,087.96