Finding the Third Proportional to 3,648.50 and 8,147.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,648.50 : 8,147.50 = 8,147.50 : x
2. Step 2: Convert to fraction form
   3,648.50/8,147.50 = 8,147.50/x
3. Step 3: Cross multiply
   3,648.50x = 8,147.50 × 8,147.50
4. Step 4: Simplify right side
   3,648.50x = 66,381,756.25
5. Step 5: Solve for x
   x = 66,381,756.25/3,648.50
6. Step 6: Final answer
   x = 18,194.26