Finding the Third Proportional to 2,411.50 and 3,705

Step by Step Solution

1. Step 1: Write the proportion equation
   2,411.50 : 3,705 = 3,705 : x
2. Step 2: Convert to fraction form
   2,411.50/3,705 = 3,705/x
3. Step 3: Cross multiply
   2,411.50x = 3,705 × 3,705
4. Step 4: Simplify right side
   2,411.50x = 13,727,025
5. Step 5: Solve for x
   x = 13,727,025/2,411.50
6. Step 6: Final answer
   x = 5,692.32