Finding the Third Proportional to 3,780.21 and 8,216.23

Step by Step Solution

1. Step 1: Write the proportion equation
   3,780.21 : 8,216.23 = 8,216.23 : x
2. Step 2: Convert to fraction form
   3,780.21/8,216.23 = 8,216.23/x
3. Step 3: Cross multiply
   3,780.21x = 8,216.23 × 8,216.23
4. Step 4: Simplify right side
   3,780.21x = 67,506,378.93
5. Step 5: Solve for x
   x = 67,506,378.93/3,780.21
6. Step 6: Final answer
   x = 17,857.83