Finding the Third Proportional to 1,738.13 and 3,729.38

Step by Step Solution

1. Step 1: Write the proportion equation
   1,738.13 : 3,729.38 = 3,729.38 : x
2. Step 2: Convert to fraction form
   1,738.13/3,729.38 = 3,729.38/x
3. Step 3: Cross multiply
   1,738.13x = 3,729.38 × 3,729.38
4. Step 4: Simplify right side
   1,738.13x = 13,908,237.89
5. Step 5: Solve for x
   x = 13,908,237.89/1,738.13
6. Step 6: Final answer
   x = 8,001.86