Finding the Third Proportional to 1,827.56 and 2,766.09

Step by Step Solution

1. Step 1: Write the proportion equation
   1,827.56 : 2,766.09 = 2,766.09 : x
2. Step 2: Convert to fraction form
   1,827.56/2,766.09 = 2,766.09/x
3. Step 3: Cross multiply
   1,827.56x = 2,766.09 × 2,766.09
4. Step 4: Simplify right side
   1,827.56x = 7,651,274.63
5. Step 5: Solve for x
   x = 7,651,274.63/1,827.56
6. Step 6: Final answer
   x = 4,186.60