Finding the Third Proportional to 6,942.38 and 10,823.63

Step by Step Solution

1. Step 1: Write the proportion equation
   6,942.38 : 10,823.63 = 10,823.63 : x
2. Step 2: Convert to fraction form
   6,942.38/10,823.63 = 10,823.63/x
3. Step 3: Cross multiply
   6,942.38x = 10,823.63 × 10,823.63
4. Step 4: Simplify right side
   6,942.38x = 117,150,858.14
5. Step 5: Solve for x
   x = 117,150,858.14/6,942.38
6. Step 6: Final answer
   x = 16,874.75