Finding the Third Proportional to 1,371.94 and 2,182.57

Step by Step Solution

1. Step 1: Write the proportion equation
   1,371.94 : 2,182.57 = 2,182.57 : x
2. Step 2: Convert to fraction form
   1,371.94/2,182.57 = 2,182.57/x
3. Step 3: Cross multiply
   1,371.94x = 2,182.57 × 2,182.57
4. Step 4: Simplify right side
   1,371.94x = 4,763,613.17
5. Step 5: Solve for x
   x = 4,763,613.17/1,371.94
6. Step 6: Final answer
   x = 3,472.18