Finding the Third Proportional to 6,833.06 and 10,541.46

Step by Step Solution

1. Step 1: Write the proportion equation
   6,833.06 : 10,541.46 = 10,541.46 : x
2. Step 2: Convert to fraction form
   6,833.06/10,541.46 = 10,541.46/x
3. Step 3: Cross multiply
   6,833.06x = 10,541.46 × 10,541.46
4. Step 4: Simplify right side
   6,833.06x = 111,122,398.70
5. Step 5: Solve for x
   x = 111,122,398.70/6,833.06
6. Step 6: Final answer
   x = 16,262.46