Finding the Third Proportional to 1,883.94 and 2,771.46

Step by Step Solution

1. Step 1: Write the proportion equation
   1,883.94 : 2,771.46 = 2,771.46 : x
2. Step 2: Convert to fraction form
   1,883.94/2,771.46 = 2,771.46/x
3. Step 3: Cross multiply
   1,883.94x = 2,771.46 × 2,771.46
4. Step 4: Simplify right side
   1,883.94x = 7,680,963.25
5. Step 5: Solve for x
   x = 7,680,963.25/1,883.94
6. Step 6: Final answer
   x = 4,077.08