Finding the Third Proportional to 1,171.50 and 1,731

Step by Step Solution

1. Step 1: Write the proportion equation
   1,171.50 : 1,731 = 1,731 : x
2. Step 2: Convert to fraction form
   1,171.50/1,731 = 1,731/x
3. Step 3: Cross multiply
   1,171.50x = 1,731 × 1,731
4. Step 4: Simplify right side
   1,171.50x = 2,996,361
5. Step 5: Solve for x
   x = 2,996,361/1,171.50
6. Step 6: Final answer
   x = 2,557.71