Finding the Third Proportional to 1,563 and 3,628.50

Step by Step Solution

1. Step 1: Write the proportion equation
   1,563 : 3,628.50 = 3,628.50 : x
2. Step 2: Convert to fraction form
   1,563/3,628.50 = 3,628.50/x
3. Step 3: Cross multiply
   1,563x = 3,628.50 × 3,628.50
4. Step 4: Simplify right side
   1,563x = 13,166,012.25
5. Step 5: Solve for x
   x = 13,166,012.25/1,563
6. Step 6: Final answer
   x = 8,423.55