Finding the Third Proportional to 6,081.75 and 8,258.63

Step by Step Solution

1. Step 1: Write the proportion equation
   6,081.75 : 8,258.63 = 8,258.63 : x
2. Step 2: Convert to fraction form
   6,081.75/8,258.63 = 8,258.63/x
3. Step 3: Cross multiply
   6,081.75x = 8,258.63 × 8,258.63
4. Step 4: Simplify right side
   6,081.75x = 68,204,886.89
5. Step 5: Solve for x
   x = 68,204,886.89/6,081.75
6. Step 6: Final answer
   x = 11,214.68