Finding the Third Proportional to 1,705.75 and 3,729.25

Step by Step Solution

1. Step 1: Write the proportion equation
   1,705.75 : 3,729.25 = 3,729.25 : x
2. Step 2: Convert to fraction form
   1,705.75/3,729.25 = 3,729.25/x
3. Step 3: Cross multiply
   1,705.75x = 3,729.25 × 3,729.25
4. Step 4: Simplify right side
   1,705.75x = 13,907,305.56
5. Step 5: Solve for x
   x = 13,907,305.56/1,705.75
6. Step 6: Final answer
   x = 8,153.19