Finding the Third Proportional to 1,857.94 and 2,775.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,857.94 : 2,775.38 = 2,775.38 : x
2. Step 2: Convert to fraction form
   1,857.94/2,775.38 = 2,775.38/x
3. Step 3: Cross multiply
   1,857.94x = 2,775.38 × 2,775.38
4. Step 4: Simplify right side
   1,857.94x = 7,702,706.39
5. Step 5: Solve for x
   x = 7,702,706.39/1,857.94
6. Step 6: Final answer
   x = 4,145.84