Finding the Third Proportional to 3,766.50 and 8,208.84

Step by Step Solution

1. Step 1: Write the proportion equation
   3,766.50 : 8,208.84 = 8,208.84 : x
2. Step 2: Convert to fraction form
   3,766.50/8,208.84 = 8,208.84/x
3. Step 3: Cross multiply
   3,766.50x = 8,208.84 × 8,208.84
4. Step 4: Simplify right side
   3,766.50x = 67,385,115.71
5. Step 5: Solve for x
   x = 67,385,115.71/3,766.50
6. Step 6: Final answer
   x = 17,890.65