Finding the Third Proportional to 4,281 and 5,668.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,281 : 5,668.50 = 5,668.50 : x
2. Step 2: Convert to fraction form
   4,281/5,668.50 = 5,668.50/x
3. Step 3: Cross multiply
   4,281x = 5,668.50 × 5,668.50
4. Step 4: Simplify right side
   4,281x = 32,131,892.25
5. Step 5: Solve for x
   x = 32,131,892.25/4,281
6. Step 6: Final answer
   x = 7,505.70