Finding the Third Proportional to 10,942.50 and 20,508

Step by Step Solution

1. Step 1: Write the proportion equation
   10,942.50 : 20,508 = 20,508 : x
2. Step 2: Convert to fraction form
   10,942.50/20,508 = 20,508/x
3. Step 3: Cross multiply
   10,942.50x = 20,508 × 20,508
4. Step 4: Simplify right side
   10,942.50x = 420,578,064
5. Step 5: Solve for x
   x = 420,578,064/10,942.50
6. Step 6: Final answer
   x = 38,435.28