Finding the Third Proportional to 1,837.69 and 3,709.55

Step by Step Solution

1. Step 1: Write the proportion equation
   1,837.69 : 3,709.55 = 3,709.55 : x
2. Step 2: Convert to fraction form
   1,837.69/3,709.55 = 3,709.55/x
3. Step 3: Cross multiply
   1,837.69x = 3,709.55 × 3,709.55
4. Step 4: Simplify right side
   1,837.69x = 13,760,738.02
5. Step 5: Solve for x
   x = 13,760,738.02/1,837.69
6. Step 6: Final answer
   x = 7,488.07