Finding the Third Proportional to 3,673.60 and 7,821.33

Step by Step Solution

1. Step 1: Write the proportion equation
   3,673.60 : 7,821.33 = 7,821.33 : x
2. Step 2: Convert to fraction form
   3,673.60/7,821.33 = 7,821.33/x
3. Step 3: Cross multiply
   3,673.60x = 7,821.33 × 7,821.33
4. Step 4: Simplify right side
   3,673.60x = 61,173,127.81
5. Step 5: Solve for x
   x = 61,173,127.81/3,673.60
6. Step 6: Final answer
   x = 16,652.11