Finding the Third Proportional to 4,091.50 and 8,863.75

Step by Step Solution

1. Step 1: Write the proportion equation
   4,091.50 : 8,863.75 = 8,863.75 : x
2. Step 2: Convert to fraction form
   4,091.50/8,863.75 = 8,863.75/x
3. Step 3: Cross multiply
   4,091.50x = 8,863.75 × 8,863.75
4. Step 4: Simplify right side
   4,091.50x = 78,566,064.06
5. Step 5: Solve for x
   x = 78,566,064.06/4,091.50
6. Step 6: Final answer
   x = 19,202.26