Finding the Third Proportional to 2,138.48 and 5,766.61

Step by Step Solution

1. Step 1: Write the proportion equation
   2,138.48 : 5,766.61 = 5,766.61 : x
2. Step 2: Convert to fraction form
   2,138.48/5,766.61 = 5,766.61/x
3. Step 3: Cross multiply
   2,138.48x = 5,766.61 × 5,766.61
4. Step 4: Simplify right side
   2,138.48x = 33,253,783.68
5. Step 5: Solve for x
   x = 33,253,783.68/2,138.48
6. Step 6: Final answer
   x = 15,550.16