Finding the Third Proportional to 1,744.88 and 3,683.81

Step by Step Solution

1. Step 1: Write the proportion equation
   1,744.88 : 3,683.81 = 3,683.81 : x
2. Step 2: Convert to fraction form
   1,744.88/3,683.81 = 3,683.81/x
3. Step 3: Cross multiply
   1,744.88x = 3,683.81 × 3,683.81
4. Step 4: Simplify right side
   1,744.88x = 13,570,474.54
5. Step 5: Solve for x
   x = 13,570,474.54/1,744.88
6. Step 6: Final answer
   x = 7,777.33