Finding the Third Proportional to 1,037.75 and 2,371.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,037.75 : 2,371.38 = 2,371.38 : x
2. Step 2: Convert to fraction form
   1,037.75/2,371.38 = 2,371.38/x
3. Step 3: Cross multiply
   1,037.75x = 2,371.38 × 2,371.38
4. Step 4: Simplify right side
   1,037.75x = 5,623,419.39
5. Step 5: Solve for x
   x = 5,623,419.39/1,037.75
6. Step 6: Final answer
   x = 5,418.86