Finding the Third Proportional to 3,638.50 and 5,563

Step by Step Solution

1. Step 1: Write the proportion equation
   3,638.50 : 5,563 = 5,563 : x
2. Step 2: Convert to fraction form
   3,638.50/5,563 = 5,563/x
3. Step 3: Cross multiply
   3,638.50x = 5,563 × 5,563
4. Step 4: Simplify right side
   3,638.50x = 30,946,969
5. Step 5: Solve for x
   x = 30,946,969/3,638.50
6. Step 6: Final answer
   x = 8,505.42