Finding the Third Proportional to 6,478.75 and 13,418.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,478.75 : 13,418.50 = 13,418.50 : x
2. Step 2: Convert to fraction form
   6,478.75/13,418.50 = 13,418.50/x
3. Step 3: Cross multiply
   6,478.75x = 13,418.50 × 13,418.50
4. Step 4: Simplify right side
   6,478.75x = 180,056,142.25
5. Step 5: Solve for x
   x = 180,056,142.25/6,478.75
6. Step 6: Final answer
   x = 27,791.80