Finding the Third Proportional to 3,829.50 and 8,348.63

Step by Step Solution

1. Step 1: Write the proportion equation
   3,829.50 : 8,348.63 = 8,348.63 : x
2. Step 2: Convert to fraction form
   3,829.50/8,348.63 = 8,348.63/x
3. Step 3: Cross multiply
   3,829.50x = 8,348.63 × 8,348.63
4. Step 4: Simplify right side
   3,829.50x = 69,699,539.39
5. Step 5: Solve for x
   x = 69,699,539.39/3,829.50
6. Step 6: Final answer
   x = 18,200.69