Finding the Third Proportional to 1,837.41 and 2,760.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,837.41 : 2,760.47 = 2,760.47 : x
2. Step 2: Convert to fraction form
   1,837.41/2,760.47 = 2,760.47/x
3. Step 3: Cross multiply
   1,837.41x = 2,760.47 × 2,760.47
4. Step 4: Simplify right side
   1,837.41x = 7,620,187.72
5. Step 5: Solve for x
   x = 7,620,187.72/1,837.41
6. Step 6: Final answer
   x = 4,147.25