Finding the Third Proportional to 6,078.25 and 13,086.50

Step by Step Solution

1. Step 1: Write the proportion equation
   6,078.25 : 13,086.50 = 13,086.50 : x
2. Step 2: Convert to fraction form
   6,078.25/13,086.50 = 13,086.50/x
3. Step 3: Cross multiply
   6,078.25x = 13,086.50 × 13,086.50
4. Step 4: Simplify right side
   6,078.25x = 171,256,482.25
5. Step 5: Solve for x
   x = 171,256,482.25/6,078.25
6. Step 6: Final answer
   x = 28,175.29