Finding the Third Proportional to 6,340.78 and 14,906.53

Step by Step Solution

1. Step 1: Write the proportion equation
   6,340.78 : 14,906.53 = 14,906.53 : x
2. Step 2: Convert to fraction form
   6,340.78/14,906.53 = 14,906.53/x
3. Step 3: Cross multiply
   6,340.78x = 14,906.53 × 14,906.53
4. Step 4: Simplify right side
   6,340.78x = 222,204,673.91
5. Step 5: Solve for x
   x = 222,204,673.91/6,340.78
6. Step 6: Final answer
   x = 35,043.74