Finding the Third Proportional to 6,340.78 and 13,854.80

Step by Step Solution

1. Step 1: Write the proportion equation
   6,340.78 : 13,854.80 = 13,854.80 : x
2. Step 2: Convert to fraction form
   6,340.78/13,854.80 = 13,854.80/x
3. Step 3: Cross multiply
   6,340.78x = 13,854.80 × 13,854.80
4. Step 4: Simplify right side
   6,340.78x = 191,955,396.45
5. Step 5: Solve for x
   x = 191,955,396.45/6,340.78
6. Step 6: Final answer
   x = 30,273.15