Finding the Third Proportional to 3,703.50 and 5,742

Step by Step Solution

1. Step 1: Write the proportion equation
   3,703.50 : 5,742 = 5,742 : x
2. Step 2: Convert to fraction form
   3,703.50/5,742 = 5,742/x
3. Step 3: Cross multiply
   3,703.50x = 5,742 × 5,742
4. Step 4: Simplify right side
   3,703.50x = 32,970,564
5. Step 5: Solve for x
   x = 32,970,564/3,703.50
6. Step 6: Final answer
   x = 8,902.54