Finding the Third Proportional to 1,830.94 and 3,791.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,830.94 : 3,791.81 = 3,791.81 : x
2. Step 2: Convert to fraction form
   1,830.94/3,791.81 = 3,791.81/x
3. Step 3: Cross multiply
   1,830.94x = 3,791.81 × 3,791.81
4. Step 4: Simplify right side
   1,830.94x = 14,377,842.04
5. Step 5: Solve for x
   x = 14,377,842.04/1,830.94
6. Step 6: Final answer
   x = 7,852.72