Finding the Third Proportional to 6,834.38 and 10,536.19

Step by Step Solution

1. Step 1: Write the proportion equation
   6,834.38 : 10,536.19 = 10,536.19 : x
2. Step 2: Convert to fraction form
   6,834.38/10,536.19 = 10,536.19/x
3. Step 3: Cross multiply
   6,834.38x = 10,536.19 × 10,536.19
4. Step 4: Simplify right side
   6,834.38x = 111,011,247.04
5. Step 5: Solve for x
   x = 111,011,247.04/6,834.38
6. Step 6: Final answer
   x = 16,243.07