Finding the Third Proportional to 5,724 and 7,633.50

Step by Step Solution

1. Step 1: Write the proportion equation
   5,724 : 7,633.50 = 7,633.50 : x
2. Step 2: Convert to fraction form
   5,724/7,633.50 = 7,633.50/x
3. Step 3: Cross multiply
   5,724x = 7,633.50 × 7,633.50
4. Step 4: Simplify right side
   5,724x = 58,270,322.25
5. Step 5: Solve for x
   x = 58,270,322.25/5,724
6. Step 6: Final answer
   x = 10,180.00