Finding the Third Proportional to 3,744 and 5,812.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,744 : 5,812.50 = 5,812.50 : x
2. Step 2: Convert to fraction form
   3,744/5,812.50 = 5,812.50/x
3. Step 3: Cross multiply
   3,744x = 5,812.50 × 5,812.50
4. Step 4: Simplify right side
   3,744x = 33,785,156.25
5. Step 5: Solve for x
   x = 33,785,156.25/3,744
6. Step 6: Final answer
   x = 9,023.81