Finding the Third Proportional to 1,705.12 and 3,710.59

Step by Step Solution

1. Step 1: Write the proportion equation
   1,705.12 : 3,710.59 = 3,710.59 : x
2. Step 2: Convert to fraction form
   1,705.12/3,710.59 = 3,710.59/x
3. Step 3: Cross multiply
   1,705.12x = 3,710.59 × 3,710.59
4. Step 4: Simplify right side
   1,705.12x = 13,768,441.66
5. Step 5: Solve for x
   x = 13,768,441.66/1,705.12
6. Step 6: Final answer
   x = 8,074.75