Finding the Third Proportional to 6,894 and 10,556.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,894 : 10,556.25 = 10,556.25 : x
2. Step 2: Convert to fraction form
   6,894/10,556.25 = 10,556.25/x
3. Step 3: Cross multiply
   6,894x = 10,556.25 × 10,556.25
4. Step 4: Simplify right side
   6,894x = 111,434,414.06
5. Step 5: Solve for x
   x = 111,434,414.06/6,894
6. Step 6: Final answer
   x = 16,163.97