Finding the Third Proportional to 6,304.92 and 13,834.31

Step by Step Solution

1. Step 1: Write the proportion equation
   6,304.92 : 13,834.31 = 13,834.31 : x
2. Step 2: Convert to fraction form
   6,304.92/13,834.31 = 13,834.31/x
3. Step 3: Cross multiply
   6,304.92x = 13,834.31 × 13,834.31
4. Step 4: Simplify right side
   6,304.92x = 191,388,202.35
5. Step 5: Solve for x
   x = 191,388,202.35/6,304.92
6. Step 6: Final answer
   x = 30,355.36