Finding the Third Proportional to 705.50 and 1,610

Step by Step Solution

1. Step 1: Write the proportion equation
   705.50 : 1,610 = 1,610 : x
2. Step 2: Convert to fraction form
   705.50/1,610 = 1,610/x
3. Step 3: Cross multiply
   705.50x = 1,610 × 1,610
4. Step 4: Simplify right side
   705.50x = 2,592,100
5. Step 5: Solve for x
   x = 2,592,100/705.50
6. Step 6: Final answer
   x = 3,674.13