Finding the Third Proportional to 1,776.38 and 3,729.94

Step by Step Solution

1. Step 1: Write the proportion equation
   1,776.38 : 3,729.94 = 3,729.94 : x
2. Step 2: Convert to fraction form
   1,776.38/3,729.94 = 3,729.94/x
3. Step 3: Cross multiply
   1,776.38x = 3,729.94 × 3,729.94
4. Step 4: Simplify right side
   1,776.38x = 13,912,433.75
5. Step 5: Solve for x
   x = 13,912,433.75/1,776.38
6. Step 6: Final answer
   x = 7,831.92