Finding the Third Proportional to 2,684.50 and 5,766.29

Step by Step Solution

1. Step 1: Write the proportion equation
   2,684.50 : 5,766.29 = 5,766.29 : x
2. Step 2: Convert to fraction form
   2,684.50/5,766.29 = 5,766.29/x
3. Step 3: Cross multiply
   2,684.50x = 5,766.29 × 5,766.29
4. Step 4: Simplify right side
   2,684.50x = 33,250,134.60
5. Step 5: Solve for x
   x = 33,250,134.60/2,684.50
6. Step 6: Final answer
   x = 12,385.99