Finding the Third Proportional to 3,744 and 5,662.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,744 : 5,662.50 = 5,662.50 : x
2. Step 2: Convert to fraction form
   3,744/5,662.50 = 5,662.50/x
3. Step 3: Cross multiply
   3,744x = 5,662.50 × 5,662.50
4. Step 4: Simplify right side
   3,744x = 32,063,906.25
5. Step 5: Solve for x
   x = 32,063,906.25/3,744
6. Step 6: Final answer
   x = 8,564.08