Finding the Third Proportional to 6,833.25 and 14,105.25

Step by Step Solution

1. Step 1: Write the proportion equation
   6,833.25 : 14,105.25 = 14,105.25 : x
2. Step 2: Convert to fraction form
   6,833.25/14,105.25 = 14,105.25/x
3. Step 3: Cross multiply
   6,833.25x = 14,105.25 × 14,105.25
4. Step 4: Simplify right side
   6,833.25x = 198,958,077.56
5. Step 5: Solve for x
   x = 198,958,077.56/6,833.25
6. Step 6: Final answer
   x = 29,116.17