Finding the Third Proportional to 4,145.50 and 5,628.50

Step by Step Solution

1. Step 1: Write the proportion equation
   4,145.50 : 5,628.50 = 5,628.50 : x
2. Step 2: Convert to fraction form
   4,145.50/5,628.50 = 5,628.50/x
3. Step 3: Cross multiply
   4,145.50x = 5,628.50 × 5,628.50
4. Step 4: Simplify right side
   4,145.50x = 31,680,012.25
5. Step 5: Solve for x
   x = 31,680,012.25/4,145.50
6. Step 6: Final answer
   x = 7,642.02