Finding the Third Proportional to 6,782.06 and 14,905.69

Step by Step Solution

1. Step 1: Write the proportion equation
   6,782.06 : 14,905.69 = 14,905.69 : x
2. Step 2: Convert to fraction form
   6,782.06/14,905.69 = 14,905.69/x
3. Step 3: Cross multiply
   6,782.06x = 14,905.69 × 14,905.69
4. Step 4: Simplify right side
   6,782.06x = 222,179,519.85
5. Step 5: Solve for x
   x = 222,179,519.85/6,782.06
6. Step 6: Final answer
   x = 32,759.88