Finding the Third Proportional to 4,217.06 and 10,189.55

Step by Step Solution

1. Step 1: Write the proportion equation
   4,217.06 : 10,189.55 = 10,189.55 : x
2. Step 2: Convert to fraction form
   4,217.06/10,189.55 = 10,189.55/x
3. Step 3: Cross multiply
   4,217.06x = 10,189.55 × 10,189.55
4. Step 4: Simplify right side
   4,217.06x = 103,826,865.52
5. Step 5: Solve for x
   x = 103,826,865.52/4,217.06
6. Step 6: Final answer
   x = 24,620.66