Finding the Third Proportional to 6,078.75 and 12,877.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,078.75 : 12,877.50 = 12,877.50 : x
2. Step 2: Convert to fraction form
   6,078.75/12,877.50 = 12,877.50/x
3. Step 3: Cross multiply
   6,078.75x = 12,877.50 × 12,877.50
4. Step 4: Simplify right side
   6,078.75x = 165,830,006.25
5. Step 5: Solve for x
   x = 165,830,006.25/6,078.75
6. Step 6: Final answer
   x = 27,280.28