Finding the Third Proportional to 1,579.50 and 1,755

Step by Step Solution

1. Step 1: Write the proportion equation
   1,579.50 : 1,755 = 1,755 : x
2. Step 2: Convert to fraction form
   1,579.50/1,755 = 1,755/x
3. Step 3: Cross multiply
   1,579.50x = 1,755 × 1,755
4. Step 4: Simplify right side
   1,579.50x = 3,080,025
5. Step 5: Solve for x
   x = 3,080,025/1,579.50
6. Step 6: Final answer
   x = 1,950