Finding the Third Proportional to 3,675 and 5,824.50

Step by Step Solution

1. Step 1: Write the proportion equation
   3,675 : 5,824.50 = 5,824.50 : x
2. Step 2: Convert to fraction form
   3,675/5,824.50 = 5,824.50/x
3. Step 3: Cross multiply
   3,675x = 5,824.50 × 5,824.50
4. Step 4: Simplify right side
   3,675x = 33,924,800.25
5. Step 5: Solve for x
   x = 33,924,800.25/3,675
6. Step 6: Final answer
   x = 9,231.24