Finding the Third Proportional to 3,727.50 and 5,462.25

Step by Step Solution

1. Step 1: Write the proportion equation
   3,727.50 : 5,462.25 = 5,462.25 : x
2. Step 2: Convert to fraction form
   3,727.50/5,462.25 = 5,462.25/x
3. Step 3: Cross multiply
   3,727.50x = 5,462.25 × 5,462.25
4. Step 4: Simplify right side
   3,727.50x = 29,836,175.06
5. Step 5: Solve for x
   x = 29,836,175.06/3,727.50
6. Step 6: Final answer
   x = 8,004.34