Finding the Third Proportional to 2,652.75 and 5,766.82

Step by Step Solution

1. Step 1: Write the proportion equation
   2,652.75 : 5,766.82 = 5,766.82 : x
2. Step 2: Convert to fraction form
   2,652.75/5,766.82 = 5,766.82/x
3. Step 3: Cross multiply
   2,652.75x = 5,766.82 × 5,766.82
4. Step 4: Simplify right side
   2,652.75x = 33,256,216.52
5. Step 5: Solve for x
   x = 33,256,216.52/2,652.75
6. Step 6: Final answer
   x = 12,536.51