Finding the Third Proportional to 5,942.11 and 8,307.98

Step by Step Solution

1. Step 1: Write the proportion equation
   5,942.11 : 8,307.98 = 8,307.98 : x
2. Step 2: Convert to fraction form
   5,942.11/8,307.98 = 8,307.98/x
3. Step 3: Cross multiply
   5,942.11x = 8,307.98 × 8,307.98
4. Step 4: Simplify right side
   5,942.11x = 69,022,604.38
5. Step 5: Solve for x
   x = 69,022,604.38/5,942.11
6. Step 6: Final answer
   x = 11,615.84