Finding the Third Proportional to 3,784.50 and 8,019.75

Step by Step Solution

1. Step 1: Write the proportion equation
   3,784.50 : 8,019.75 = 8,019.75 : x
2. Step 2: Convert to fraction form
   3,784.50/8,019.75 = 8,019.75/x
3. Step 3: Cross multiply
   3,784.50x = 8,019.75 × 8,019.75
4. Step 4: Simplify right side
   3,784.50x = 64,316,390.06
5. Step 5: Solve for x
   x = 64,316,390.06/3,784.50
6. Step 6: Final answer
   x = 16,994.69