Finding the Third Proportional to 1,837.69 and 2,751.47

Step by Step Solution

1. Step 1: Write the proportion equation
   1,837.69 : 2,751.47 = 2,751.47 : x
2. Step 2: Convert to fraction form
   1,837.69/2,751.47 = 2,751.47/x
3. Step 3: Cross multiply
   1,837.69x = 2,751.47 × 2,751.47
4. Step 4: Simplify right side
   1,837.69x = 7,570,580.28
5. Step 5: Solve for x
   x = 7,570,580.28/1,837.69
6. Step 6: Final answer
   x = 4,119.62