Finding the Third Proportional to 1,674 and 2,411.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,674 : 2,411.50 = 2,411.50 : x
2. Step 2: Convert to fraction form
   1,674/2,411.50 = 2,411.50/x
3. Step 3: Cross multiply
   1,674x = 2,411.50 × 2,411.50
4. Step 4: Simplify right side
   1,674x = 5,815,332.25
5. Step 5: Solve for x
   x = 5,815,332.25/1,674
6. Step 6: Final answer
   x = 3,473.91